Otter---3.3.UNS-Ref.s

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SWV910-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jul 27 13:21:45 EDT 2022

% Result   : Unsatisfiable 104.22s 104.35s
% Output   : Refutation 104.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    8 (   8 unt;   0 nHn;   3 RR)
%            Number of literals    :    8 (   3 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-4 aty)
%            Number of variables   :   16 (  11 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(300,axiom,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(A,v_c,B,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a),
    file('SWV910-1.p',unknown),
    [] ).

cnf(396,axiom,
    c_Collect(A,B) = A,
    file('SWV910-1.p',unknown),
    [] ).

cnf(463,axiom,
    c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) = c_Collect(c_COMBK(c_False,tc_bool,A),A),
    file('SWV910-1.p',unknown),
    [] ).

cnf(465,plain,
    c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)) = c_COMBK(c_False,tc_bool,A),
    inference(demod,[status(thm),theory(equality)],[inference(copy,[status(thm)],[463]),396]),
    [iquote('copy,463,demod,396')] ).

cnf(515,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),B),C,D,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B),
    file('SWV910-1.p',unknown),
    [] ).

cnf(516,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),B),C,D,B)),c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(B))),B),
    inference(demod,[status(thm),theory(equality)],[inference(copy,[status(thm)],[515]),465]),
    [iquote('copy,515,demod,465')] ).

cnf(630,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(A,v_c,B,t_a)),c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(t_a))),t_a),
    inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[300]),465]),
    [iquote('back_demod,300,demod,465')] ).

cnf(631,plain,
    $false,
    inference(binary,[status(thm)],[630,516]),
    [iquote('binary,630.1,516.1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV910-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13  % Command  : otter-tptp-script %s
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Jul 27 06:23:20 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 104.22/104.31  ----- Otter 3.3f, August 2004 -----
% 104.22/104.31  The process was started by sandbox on n022.cluster.edu,
% 104.22/104.31  Wed Jul 27 06:23:20 2022
% 104.22/104.31  The command was "./otter".  The process ID is 27729.
% 104.22/104.31  
% 104.22/104.31  set(prolog_style_variables).
% 104.22/104.31  set(auto).
% 104.22/104.31     dependent: set(auto1).
% 104.22/104.31     dependent: set(process_input).
% 104.22/104.31     dependent: clear(print_kept).
% 104.22/104.31     dependent: clear(print_new_demod).
% 104.22/104.31     dependent: clear(print_back_demod).
% 104.22/104.31     dependent: clear(print_back_sub).
% 104.22/104.31     dependent: set(control_memory).
% 104.22/104.31     dependent: assign(max_mem, 12000).
% 104.22/104.31     dependent: assign(pick_given_ratio, 4).
% 104.22/104.31     dependent: assign(stats_level, 1).
% 104.22/104.31     dependent: assign(max_seconds, 10800).
% 104.22/104.31  clear(print_given).
% 104.22/104.31  
% 104.22/104.31  list(usable).
% 104.22/104.31  0 [] A=A.
% 104.22/104.31  0 [] c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,V_D,T_a,T_b),V_x,c_Option_Ooption_ONone(T_b),T_a,tc_Option_Ooption(T_b))=c_Map_Orestrict__map(V_m,V_D,T_a,T_b)|hBOOL(c_in(V_x,V_D,T_a)).
% 104.22/104.31  0 [] c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b)!=V_f|hAPP(V_f,V_x)=V_y.
% 104.22/104.31  0 [] c_Fun_Ocomp(V_f,c_Fun_Ofun__upd(V_g,V_x,V_y,T_a,T_c),T_c,T_b,T_a)=c_Fun_Ofun__upd(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_a),V_x,hAPP(V_f,V_y),T_a,T_b).
% 104.22/104.31  0 [] c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_a,V_b,T_a,T_b),V_c,V_d,T_a,T_b)=c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_c,V_d,T_a,T_b),V_a,V_b,T_a,T_b)|V_a=V_c.
% 104.22/104.31  0 [] c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_x,V_z,T_a,T_b)=c_Fun_Ofun__upd(V_f,V_x,V_z,T_a,T_b).
% 104.22/104.31  0 [] c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_b,T_a)=V_f.
% 104.22/104.31  0 [] hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_x)=V_y.
% 104.22/104.31  0 [] c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_a,T_b)=V_f.
% 104.22/104.31  0 [] hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_aa),V_x)=V_y.
% 104.22/104.31  0 [] c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_aa,T_a)=V_f.
% 104.22/104.31  0 [] hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_z)=hAPP(V_f,V_z)|V_z=V_x.
% 104.22/104.31  0 [] hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_z)=hAPP(V_f,V_z)|V_z=V_x.
% 104.22/104.31  0 [] c_Map_Orestrict__map(c_Fun_Ofun__upd(V_m,V_x,V_y,T_a,tc_Option_Ooption(T_b)),V_D,T_a,T_b)=c_Map_Orestrict__map(V_m,V_D,T_a,T_b)|hBOOL(c_in(V_x,V_D,T_a)).
% 104.22/104.31  0 [] c_Map_Orestrict__map(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a,T_b)=c_Fun_Ofun__upd(c_Map_Orestrict__map(V_f,V_A,T_a,T_b),V_a,hAPP(V_f,V_a),T_a,tc_Option_Ooption(T_b)).
% 104.22/104.31  0 [] c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,V_D,T_a,T_b),V_x,V_y,T_a,tc_Option_Ooption(T_b))=c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,c_HOL_Ominus__class_Ominus(V_D,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),T_a,T_b),V_x,V_y,T_a,tc_Option_Ooption(T_b)).
% 104.22/104.31  0 [] c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,V_D,T_a,T_b),V_x,V_y,T_a,tc_Option_Ooption(T_b))=c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,c_HOL_Ominus__class_Ominus(V_D,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),T_a,T_b),V_x,V_y,T_a,tc_Option_Ooption(T_b))| -hBOOL(c_in(V_x,V_D,T_a)).
% 104.22/104.31  0 [] c_Map_Orestrict__map(c_Fun_Ofun__upd(V_m,V_x,V_y,T_a,tc_Option_Ooption(T_b)),V_D,T_a,T_b)=c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,c_HOL_Ominus__class_Ominus(V_D,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),T_a,T_b),V_x,V_y,T_a,tc_Option_Ooption(T_b))| -hBOOL(c_in(V_x,V_D,T_a)).
% 104.22/104.31  0 [] hAPP(c_COMBI(T_a),V_P)=V_P.
% 104.22/104.31  0 [] hAPP(c_COMBK(V_P,T_a,T_b),V_Q)=V_P.
% 104.22/104.31  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OBODY(V_pname_H).
% 104.22/104.31  0 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)|V_xa=V_y.
% 104.22/104.31  0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|V_x_H=V_y_H.
% 104.22/104.31  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMax(V_M,T_a),c_Finite__Set_Olinorder__class_OMax(V_N,T_a),T_a)| -c_Finite__Set_Ofinite(V_N,T_a)|V_M=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_M,V_N,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)).
% 104.22/104.31  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)).
% 104.22/104.31  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)).
% 104.22/104.31  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)).
% 104.22/104.31  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)).
% 104.22/104.31  0 [] hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)).
% 104.22/104.31  0 [] hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)).
% 104.22/104.31  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -hBOOL(c_in(V_y,V_A,T_a))| -hBOOL(c_in(V_x,V_A,T_a))|V_x=V_y| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 104.22/104.31  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -hBOOL(c_in(V_y,V_A,T_a))| -hBOOL(c_in(V_x,V_A,T_a))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_y.
% 104.22/104.31  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_xa)| -hBOOL(c_in(V_xa,V_A,T_a))| -hBOOL(c_in(V_x,V_A,T_a))| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_xa.
% 104.22/104.31  0 [] hAPP(V_f,V_x)!=hAPP(V_f,V_y)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b)|V_x=V_y| -hBOOL(c_in(V_y,V_A,T_a))| -hBOOL(c_in(V_x,V_A,T_a)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)=V_A| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)=V_x| -c_lesse_quals(V_x,V_y,T_a).
% 104.22/104.31  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)!=V_x|c_lesse_quals(V_x,V_y,T_a).
% 104.22/104.31  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)=V_y| -c_lesse_quals(V_y,V_x,T_a).
% 104.22/104.31  0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_lesse_quals(V_B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 104.22/104.31  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a).
% 104.22/104.31  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a).
% 104.22/104.31  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z),V_x,T_a)| -c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 104.22/104.31  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_z,T_a).
% 104.22/104.31  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_y,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a).
% 104.22/104.31  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A).
% 104.22/104.31  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x).
% 104.22/104.31  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x).
% 104.22/104.31  0 [] c_Complete__Lattice_Ocomplete__lattice(V_Sup,V_Inf,c_COMBC(V_less__e_q,T_a,T_a,tc_bool),c_COMBC(V_less,T_a,T_a,tc_bool),V_sup,V_inf,V_top,V_bot,T_a)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)))=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 104.22/104.31  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)),T_a).
% 104.22/104.31  0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A)).
% 104.22/104.31  0 [] hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a))| -hBOOL(hAPP(V_P,V_a)).
% 104.22/104.31  0 [] hBOOL(hAPP(V_P,V_a))| -hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)).
% 104.22/104.31  0 [] hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))|hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 104.22/104.31  0 [] hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))|hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 104.22/104.31  0 [] hBOOL(c_in(V_x,V_B,T_a))| -c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=V_c|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)).
% 104.22/104.31  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_b)|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_M,T_b,T_a),T_a,T_b)=V_M|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_Fun_Ofun__upd(c_Map_Orestrict__map(V_m,V_D,T_a,T_b),V_x,c_Option_Ooption_ONone(T_b),T_a,tc_Option_Ooption(T_b))=c_Map_Orestrict__map(V_m,c_HOL_Ominus__class_Ominus(V_D,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),T_a,T_b)| -hBOOL(c_in(V_x,V_D,T_a)).
% 104.22/104.31  0 [] hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R)=hAPP(hAPP(V_P,V_R),V_Q).
% 104.22/104.31  0 [] hBOOL(hAPP(V_S,V_x))| -hBOOL(c_in(V_x,V_S,T_a)).
% 104.22/104.31  0 [] hBOOL(c_in(V_x,V_S,T_a))| -hBOOL(hAPP(V_S,V_x)).
% 104.22/104.31  0 [] c_HOL_Ominus__class_Ominus(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 104.22/104.31  0 [] c_Fun_Oinj__on(c_Fun_Oid(T_a),V_A,T_a,T_a).
% 104.22/104.31  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_x)=V_x.
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_A)=V_A.
% 104.22/104.31  0 [] c_Fun_Ocomp(c_Fun_Oid(T_b),V_g,T_b,T_b,T_a)=V_g.
% 104.22/104.31  0 [] c_Fun_Ocomp(V_f,c_Fun_Oid(T_a),T_a,T_b,T_a)=V_f.
% 104.22/104.31  0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a)).
% 104.22/104.31  0 [] -class_Lattices_Odistrib__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)),V_x)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_z),V_x)).
% 104.22/104.31  0 [] -class_Lattices_Odistrib__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A)).
% 104.22/104.31  0 [] -class_Lattices_Olattice(T_b)|hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,T_b)),V_f),V_g),v_x)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_b),hAPP(V_f,v_x)),hAPP(V_g,v_x)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))=V_A.
% 104.22/104.31  0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 104.22/104.31  0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_Finite__Set_Ofold1(V_f,V_A,T_a)=c_The(c_Finite__Set_Ofold1Set(V_f,V_A,T_a),T_a).
% 104.22/104.31  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_b)|c_lesse_quals(hAPP(V_M,V_i),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_a,T_b),T_b)| -hBOOL(c_in(V_i,V_A,T_a)).
% 104.22/104.31  0 [] c_lesse_quals(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool))| -hBOOL(c_in(V_a,V_A,T_a)).
% 104.22/104.31  0 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_B,T_a)).
% 104.22/104.31  0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OSKIP.
% 104.22/104.31  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_xa,T_a)| -hBOOL(c_in(V_xa,V_A,T_a))| -c_lesse_quals(V_x,c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A,T_a),T_a)|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 104.22/104.31  0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OWhile(V_fun,V_com).
% 104.22/104.31  0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 104.22/104.31  0 [] c_Fun_Oinj__on(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)| -c_Fun_Oinj__on(V_f,V_A,T_a,T_b).
% 104.22/104.31  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),c_Complete__Lattice_OInf__class_OInf(V_A,T_a)).
% 104.22/104.31  0 [] c_Collect(V_P,T_a)=V_P.
% 104.22/104.31  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Oupper__semilattice__class_Osup(T_a),T_a,T_a).
% 104.22/104.31  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com2=V_com2_H.
% 104.22/104.31  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H)|V_com1=V_com1_H.
% 104.22/104.31  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 104.22/104.31  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),c_Complete__Lattice_OSup__class_OSup(V_A,T_a)).
% 104.22/104.31  0 [] c_Com_Ocom_OSemi(V_com1,V_com2)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H).
% 104.22/104.31  0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_B,T_a).
% 104.22/104.31  0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(V_B,T_a).
% 104.22/104.31  0 [] c_Fun_Oinj__on(c_COMBI(T_a),V_A,T_a,T_a).
% 104.22/104.31  0 [] c_Finite__Set_Ofinite(hAPP(V_B,V_x),T_b)| -hBOOL(c_in(V_x,V_A,T_a))| -c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),T_b)| -c_Finite__Set_Ofinite(V_A,T_a).
% 104.22/104.31  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hAPP(V_B,V_x)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_b)).
% 104.22/104.31  0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 104.22/104.31  0 [] hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)).
% 104.22/104.31  0 [] -hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)).
% 104.22/104.31  0 [] c_lesse_quals(hAPP(V_A,V_x),V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_I,T_b))| -c_lesse_quals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] hAPP(c_Fun_Ocomp(c_COMBK(V_c,T_b,T_c),V_f,T_c,T_b,t_a),v_x)=V_c.
% 104.22/104.31  0 [] c_The(hAPP(c_COMBC(c_fe_qual(T_a),T_a,T_a,tc_bool),V_a),T_a)=V_a.
% 104.22/104.31  0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),hAPP(V_A,V_k)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool))| -hBOOL(c_in(V_k,V_I,T_a)).
% 104.22/104.31  0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)|V_com2=V_com2_H.
% 104.22/104.31  0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)|V_com1=V_com1_H.
% 104.22/104.31  0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)|V_fun=V_fun_H.
% 104.22/104.31  0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)| -c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 104.22/104.31  0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)| -c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 104.22/104.31  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_b,V_d,T_a)| -c_lesse_quals(V_c,V_a,T_a).
% 104.22/104.31  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_b,V_d,T_a)| -c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_c,V_a,T_a)| -c_lesse_quals(V_a,V_b,T_a)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)!=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))|c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))| -c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] hAPP(c_Map_Orestrict__map(V_m,V_A,T_a,T_b),V_x)=c_Option_Ooption_ONone(T_b)|hBOOL(c_in(V_x,V_A,T_a)).
% 104.22/104.31  0 [] hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x)=hAPP(V_f,hAPP(V_g,V_x)).
% 104.22/104.31  0 [] hAPP(V_a,hAPP(V_b,V_v))=hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v).
% 104.22/104.31  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool))|c_lesse_quals(V_a,V_b,T_a).
% 104.22/104.31  0 [] hBOOL(hAPP(V_B,V_x))|hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)).
% 104.22/104.31  0 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))| -hBOOL(hAPP(V_B,V_x)).
% 104.22/104.31  0 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 104.22/104.31  0 [] hBOOL(c_in(V_c,V_B,T_a))|hBOOL(c_in(V_c,V_A,T_a))| -hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)).
% 104.22/104.31  0 [] c_Com_Ocom_OCond(V_fun,V_com1,V_com2)!=c_Com_Ocom_OBODY(V_pname_H).
% 104.22/104.31  0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OCond(V_fun,V_com1,V_com2).
% 104.22/104.31  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)).
% 104.22/104.31  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)).
% 104.22/104.31  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)).
% 104.22/104.31  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_z)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 104.22/104.31  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))|hAPP(V_B,V_x)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_b)).
% 104.22/104.31  0 [] c_Finite__Set_Ofinite(V_F,T_a)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a).
% 104.22/104.31  0 [] c_Finite__Set_Ofinite(V_G,T_a)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a).
% 104.22/104.31  0 [] c_Map_Orestrict__map(c_Map_Orestrict__map(V_m,V_A,T_a,T_b),V_B,T_a,T_b)=c_Map_Orestrict__map(V_m,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool))),V_B)=V_B.
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)))=V_A.
% 104.22/104.31  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OWhile(V_fun_H,V_com_H).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_B),tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_C)=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_D,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] -hBOOL(c_in(V_x,V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_a))|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)),T_a).
% 104.22/104.31  0 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),V_B,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y))=V_x.
% 104.22/104.31  0 [] V_A=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] V_A=V_B| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 104.22/104.31  0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 104.22/104.31  0 [] -class_Orderings_Oorder(T_a)|V_x=V_y| -c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 104.22/104.31  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))=V_x.
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B))=V_A.
% 104.22/104.31  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=V_x| -c_lesse_quals(V_y,V_x,T_a).
% 104.22/104.31  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)!=V_y|c_lesse_quals(V_x,V_y,T_a).
% 104.22/104.31  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=V_y| -c_lesse_quals(V_x,V_y,T_a).
% 104.22/104.31  0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)).
% 104.22/104.31  0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)).
% 104.22/104.31  0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_A,T_a)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)|hBOOL(c_in(V_a,V_A,T_a)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)),V_C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)|hBOOL(c_in(V_a,V_C,T_a)).
% 104.22/104.31  0 [] hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),T_a))| -hBOOL(c_in(V_b,hAPP(V_B,V_x),T_a))| -hBOOL(c_in(V_x,V_A,T_b)).
% 104.22/104.31  0 [] hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),T_b))| -hBOOL(c_in(V_b,hAPP(V_B,V_a),T_b))| -hBOOL(c_in(V_a,V_A,T_a)).
% 104.22/104.31  0 [] c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a)!=c_Fun_Ocomp(c_Fun_Oid(T_b),V_c,T_b,T_b,T_a)|hAPP(V_a,hAPP(V_b,V_v))=hAPP(V_c,V_v).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))),V_A)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B).
% 104.22/104.31  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] -class_HOL_Ominus(T_b)|hAPP(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(t_a,T_b)),v_x)=c_HOL_Ominus__class_Ominus(hAPP(V_A,v_x),hAPP(V_B,v_x),T_b).
% 104.22/104.31  0 [] c_lesse_quals(V_C,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_a,T_a)| -c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a).
% 104.22/104.31  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a).
% 104.22/104.31  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a)| -c_lesse_quals(V_a,V_x,T_a).
% 104.22/104.31  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a)| -c_lesse_quals(V_b,V_x,T_a).
% 104.22/104.31  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_y,T_a)| -c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a).
% 104.22/104.31  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a).
% 104.22/104.31  0 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool))).
% 104.22/104.31  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Collect(hAPP(c_COMBC(c_fe_qual(T_a),T_a,T_a,tc_bool),V_a),T_a)),V_B).
% 104.22/104.31  0 [] hBOOL(hAPP(hAPP(V_less__e_q,hAPP(V_Inf,V_A)),V_x))| -hBOOL(c_in(V_x,V_A,T_a))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 104.22/104.31  0 [] hBOOL(hAPP(hAPP(V_less__e_q,V_x),hAPP(V_Sup,V_A)))| -hBOOL(c_in(V_x,V_A,T_a))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A).
% 104.22/104.31  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x).
% 104.22/104.31  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x).
% 104.22/104.31  0 [] c_Com_Ocom_OBODY(V_pname)!=c_Com_Ocom_OBODY(V_pname_H)|V_pname=V_pname_H.
% 104.22/104.31  0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H)|V_fun=V_fun_H.
% 104.22/104.31  0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OWhile(V_fun_H,V_com_H)|V_com=V_com_H.
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B).
% 104.22/104.31  0 [] -class_Lattices_Oupper__semilattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y).
% 104.22/104.31  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y).
% 104.22/104.31  0 [] c_Com_Ocom_OCond(V_fun_H,V_com1_H,V_com2_H)!=c_Com_Ocom_OSKIP.
% 104.22/104.31  0 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))| -hBOOL(hAPP(hAPP(V_B,V_x),V_b))| -hBOOL(c_in(V_x,V_A,T_a)).
% 104.22/104.31  0 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b))| -hBOOL(hAPP(hAPP(V_B,V_a),V_b))| -hBOOL(c_in(V_a,V_A,T_a)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OCond(V_fun,V_com1,V_com2).
% 104.22/104.31  0 [] -class_Finite__Set_Ofinite_Ofinite(T_a)|c_Finite__Set_Ofinite(V_A,T_a).
% 104.22/104.31  0 [] hBOOL(c_in(V_x,V_A,T_a))| -hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a)).
% 104.22/104.31  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OBODY(V_pname_H).
% 104.22/104.31  0 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))|hBOOL(c_in(V_x,V_B,T_a)).
% 104.22/104.31  0 [] hBOOL(hAPP(V_B,V_x))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)).
% 104.22/104.31  0 [] hBOOL(hAPP(V_A,V_x))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)).
% 104.22/104.31  0 [] c_Fun_Oinj__on(V_f,V_B,T_a,T_b)| -c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b).
% 104.22/104.31  0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b).
% 104.22/104.31  0 [] hAPP(c_Fun_Oid(T_a),V_x)=V_x.
% 104.22/104.31  0 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] -class_Lattices_Olower__semilattice(T_a)|c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Olower__semilattice__class_Oinf(T_a),T_a,T_a).
% 104.22/104.31  0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)| -c_Finite__Set_Ofinite(V_G,T_a).
% 104.22/104.31  0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a)| -c_Finite__Set_Ofinite(V_F,T_a).
% 104.22/104.31  0 [] -class_HOL_Oord(T_b)|c_lesse_quals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)| -c_lesse_quals(V_f,V_g,tc_fun(T_a,T_b)).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__valids(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OWhile(V_b,V_c),c_Hoare__Mirabelle_Opeek__and(V_P,c_Fun_Ocomp(c_Not,V_b,tc_bool,tc_bool,tc_Com_Ostate),T_a),T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__valids(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,V_b,T_a),V_c,V_P,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 104.22/104.31  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)=V_x.
% 104.22/104.31  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a))=V_x.
% 104.22/104.31  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)=c_Orderings_Obot__class_Obot(T_a).
% 104.22/104.31  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Orderings_Obot__class_Obot(T_a))=c_Orderings_Obot__class_Obot(T_a).
% 104.22/104.31  0 [] -class_Orderings_Obot(T_a)|c_lesse_quals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a).
% 104.22/104.31  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B)!=c_Orderings_Obot__class_Obot(T_a)|V_A=c_Orderings_Obot__class_Obot(T_a).
% 104.22/104.31  0 [] -class_Lattices_Obounded__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B)!=c_Orderings_Obot__class_Obot(T_a)|V_B=c_Orderings_Obot__class_Obot(T_a).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] hAPP(V_Inf,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=V_top| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 104.22/104.31  0 [] hAPP(V_Sup,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=V_bot| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 104.22/104.31  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_Collect(V_P,T_a)| -hBOOL(hAPP(V_P,V_x)).
% 104.22/104.31  0 [] -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 104.22/104.31  0 [] hBOOL(hAPP(V_P,V_x))| -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 104.22/104.31  0 [] -hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 104.22/104.31  0 [] -hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 104.22/104.31  0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_Collect(V_P,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_P,V_x)).
% 104.22/104.31  0 [] -hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_x)).
% 104.22/104.31  0 [] c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=V_A.
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_B)=V_B.
% 104.22/104.31  0 [] c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A.
% 104.22/104.31  0 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_B)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b).
% 104.22/104.31  0 [] -hBOOL(hAPP(V_P,V_x))| -hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_B=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_Collect(hAPP(c_COMBC(c_fe_qual(T_a),T_a,T_a,tc_bool),V_a),T_a)=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))).
% 104.22/104.31  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)))=V_A| -hBOOL(c_in(V_a,V_A,T_a)).
% 104.22/104.31  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),T_a)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b).
% 104.22/104.31  0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool))=V_A|hBOOL(c_in(V_x,V_A,T_a)).
% 104.22/104.31  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),T_a)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b).
% 104.22/104.31  0 [] c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_C),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_D),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_D,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_A),T_a))| -hBOOL(c_in(V_a,V_A,T_a)).
% 104.22/104.31  0 [] hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_B),T_a))| -hBOOL(c_in(V_a,V_B,T_a)).
% 104.22/104.31  0 [] hAPP(V_Inf,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A))=hAPP(hAPP(V_inf,V_a),hAPP(V_Inf,V_A))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 104.22/104.31  0 [] hAPP(V_Sup,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A))=hAPP(hAPP(V_sup,V_a),hAPP(V_Sup,V_A))| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 104.22/104.31  0 [] hBOOL(c_in(V_a,V_A,T_a))|V_a=V_b| -hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_A),T_a)).
% 104.22/104.31  0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a)| -c_Finite__Set_Ofinite(V_A,T_a).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)=V_B| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)=V_A| -c_lesse_quals(V_B,V_A,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)!=V_B|c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] hAPP(c_Map_Orestrict__map(V_m,V_A,T_a,T_b),V_x)=hAPP(V_m,V_x)| -hBOOL(c_in(V_x,V_A,T_a)).
% 104.22/104.31  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_Collect(c_COMBK(c_False,tc_bool,T_a),T_a).
% 104.22/104.31  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMin(V_N,T_a),c_Finite__Set_Olinorder__class_OMin(V_M,T_a),T_a)| -c_Finite__Set_Ofinite(V_N,T_a)|V_M=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_M,V_N,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Set_Oinsert(T_b),V_a),V_A),V_B,T_b,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(V_B,V_a)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))).
% 104.22/104.31  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A,T_a),V_a,T_a)| -hBOOL(c_in(V_a,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 104.22/104.31  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_lesse_quals(c_Complete__Lattice_OInf__class_OInf(V_A,T_a),V_x,T_a)| -hBOOL(c_in(V_x,V_A,T_a)).
% 104.22/104.31  0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)|c_lesse_quals(V_a,V_b,T_a).
% 104.22/104.31  0 [] -class_Orderings_Oorder(T_a)|c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)| -c_lesse_quals(V_a,V_b,T_a).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)),V_C)=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))| -hBOOL(c_in(V_a,V_C,T_a)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B))=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B))| -hBOOL(c_in(V_a,V_A,T_a)).
% 104.22/104.31  0 [] hAPP(c_Fun_Ofcomp(V_f,V_g,T_b,T_c,T_a),V_x)=hAPP(V_g,hAPP(V_f,V_x)).
% 104.22/104.31  0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_D),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_D,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_x,T_a).
% 104.22/104.31  0 [] -class_Lattices_Olattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_y,T_a).
% 104.22/104.31  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 104.22/104.31  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a)| -c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 104.22/104.31  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a)| -c_lesse_quals(V_x,V_b,T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 104.22/104.31  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_y,T_a).
% 104.22/104.31  0 [] -class_Lattices_Olower__semilattice(T_a)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_x,T_a).
% 104.22/104.31  0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_A,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_B,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_lesse_quals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_lesse_quals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_C,V_A,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a)=c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a).
% 104.22/104.31  0 [] c_Com_Ocom_OSemi(V_com1_H,V_com2_H)!=c_Com_Ocom_OSKIP.
% 104.22/104.31  0 [] -class_Lattices_Odistrib__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)),V_x)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_z),V_x)).
% 104.22/104.31  0 [] -class_Lattices_Odistrib__lattice(T_a)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A)).
% 104.22/104.31  0 [] c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_B,T_a)).
% 104.22/104.31  0 [] -class_Lattices_Olattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y).
% 104.22/104.31  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B).
% 104.22/104.31  0 [] hAPP(hAPP(V_f,V_x),hAPP(hAPP(V_f,V_x),V_z))=hAPP(hAPP(V_f,V_x),V_z)| -c_Finite__Set_Ofun__left__comm__idem(V_f,T_a,T_b).
% 104.22/104.31  0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)),T_a).
% 104.22/104.31  0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)),T_a)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a).
% 104.22/104.31  0 [] c_Fun_Ofcomp(V_f,c_Fun_Oid(T_b),T_a,T_b,T_b)=V_f.
% 104.22/104.31  0 [] c_Fun_Ofcomp(c_Fun_Oid(T_a),V_g,T_a,T_a,T_b)=V_g.
% 104.22/104.31  0 [] c_Com_Ocom_OWhile(V_fun_H,V_com_H)!=c_Com_Ocom_OSemi(V_com1,V_com2).
% 104.22/104.31  0 [] hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))| -hBOOL(c_in(V_c,V_B,T_a)).
% 104.22/104.31  0 [] hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 104.22/104.31  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] -class_Lattices_Olower__semilattice(T_a)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_x)=V_x.
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_A)=V_A.
% 104.22/104.31  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a).
% 104.22/104.31  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a).
% 104.22/104.31  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a)| -c_lesse_quals(V_x,V_b,T_a).
% 104.22/104.31  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a)| -c_lesse_quals(V_x,V_a,T_a).
% 104.22/104.31  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_b,V_x,T_a)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a).
% 104.22/104.31  0 [] -class_Lattices_Oupper__semilattice(T_a)|c_lesse_quals(V_a,V_x,T_a)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a).
% 104.22/104.31  0 [] c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] -class_Orderings_Olinorder(T_a)|hBOOL(c_in(c_Finite__Set_Olinorder__class_OMax(V_A,T_a),V_A,T_a))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 104.22/104.31  0 [] -class_Lattices_Olattice(T_b)|hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,T_b)),V_f),V_g),v_x)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_b),hAPP(V_f,v_x)),hAPP(V_g,v_x)).
% 104.22/104.31  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_z,V_x,T_a)| -c_lesse_quals(V_z,V_y,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 104.22/104.31  0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_z,T_a)| -c_lesse_quals(V_y,V_z,T_a)| -c_lesse_quals(V_x,V_y,T_a).
% 104.22/104.31  0 [] hBOOL(c_in(V_x,V_B,T_a))| -hBOOL(c_in(V_x,V_A,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_lesse_quals(V_x,V_x,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] hBOOL(c_in(V_x,V_B,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -hBOOL(c_in(V_x,V_A,T_a)).
% 104.22/104.31  0 [] hBOOL(c_in(V_t,V_B,T_a))| -hBOOL(c_in(V_t,V_A,T_a))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_lesse_quals(V_A,V_A,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_Fun_Oinj__on(V_f,V_B,T_a,T_b).
% 104.22/104.31  0 [] hBOOL(hAPP(V_Q,V_x))| -hBOOL(hAPP(V_P,V_x))| -c_lesse_quals(V_P,V_Q,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] -class_Orderings_Oorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 104.22/104.31  0 [] -class_Orderings_Opreorder(T_a)|c_lesse_quals(V_x,V_x,T_a).
% 104.22/104.31  0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(V_B,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] hBOOL(hAPP(V_Q,V_x))| -c_lesse_quals(V_P,V_Q,tc_fun(T_a,tc_bool))| -hBOOL(hAPP(V_P,V_x)).
% 104.22/104.31  0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_B,T_a).
% 104.22/104.31  0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_D),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_B,V_D,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_C,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))).
% 104.22/104.31  0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|c_lesse_quals(V_a,V_b,T_a).
% 104.22/104.31  0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_a,V_b,T_a).
% 104.22/104.31  0 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool))).
% 104.22/104.31  0 [] -class_Orderings_Olinorder(T_a)|hBOOL(c_in(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_A,T_a))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_Finite__Set_Ofinite(V_A,T_a).
% 104.22/104.31  0 [] c_Com_Ocom_OWhile(V_fun,V_com)!=c_Com_Ocom_OBODY(V_pname_H).
% 104.22/104.31  0 [] hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a))| -hBOOL(hAPP(V_P,V_x))| -hBOOL(c_in(V_x,V_A,T_a)).
% 104.22/104.31  0 [] c_Com_Ocom_OBODY(V_pname_H)!=c_Com_Ocom_OSKIP.
% 104.22/104.31  0 [] c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a)!=c_Fun_Ocomp(V_c,V_d,T_d,T_b,T_a)|hAPP(V_a,hAPP(V_b,V_v))=hAPP(V_c,hAPP(V_d,V_v)).
% 104.22/104.31  0 [] hAPP(V_f,hAPP(V_g,V_x))!=hAPP(V_f_H,hAPP(V_g_H,V_x_H))|hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x)=hAPP(c_Fun_Ocomp(V_f_H,V_g_H,T_d,T_a,T_e),V_x_H).
% 104.22/104.31  0 [] c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))).
% 104.22/104.31  0 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),V_M,T_b,tc_fun(T_a,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_b,tc_fun(T_a,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_B,V_M,T_b,tc_fun(T_a,tc_bool))).
% 104.22/104.31  0 [] c_The(hAPP(c_fe_qual(T_a),V_x),T_a)=V_x.
% 104.22/104.31  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMin(V_A,T_a),V_x,T_a)| -hBOOL(c_in(V_x,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 104.22/104.31  0 [] hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))| -hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 104.22/104.31  0 [] hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a))| -hBOOL(c_in(V_c,V_B,T_a))| -hBOOL(c_in(V_c,V_A,T_a)).
% 104.22/104.31  0 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x))| -hBOOL(hAPP(V_B,V_x))| -hBOOL(hAPP(V_A,V_x)).
% 104.22/104.31  0 [] c_Fun_Ocomp(hAPP(V_f,V_x),hAPP(V_f,V_x),T_b,T_b,T_b)=hAPP(V_f,V_x)| -c_Finite__Set_Ofun__left__comm__idem(V_f,T_a,T_b).
% 104.22/104.31  0 [] c_HOL_Ominus__class_Ominus(V_B,c_HOL_Ominus__class_Ominus(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))=V_A| -c_lesse_quals(V_B,V_C,tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_lesse_quals(V_y_H,V_x_H,T_a)| -c_lesse_quals(V_y,V_x,T_a).
% 104.22/104.31  0 [] -class_OrderedGroup_Opordered__ab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|c_lesse_quals(V_y,V_x,T_a)| -c_lesse_quals(V_y_H,V_x_H,T_a).
% 104.22/104.31  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_x,c_Finite__Set_Olinorder__class_OMax(V_A,T_a),T_a)| -hBOOL(c_in(V_x,V_A,T_a))| -c_Finite__Set_Ofinite(V_A,T_a).
% 104.22/104.31  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_lesse_quals(V_x,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a)| -hBOOL(c_in(V_x,V_A,T_a)).
% 104.22/104.31  0 [] c_Fun_Ofcomp(c_Fun_Ofcomp(V_f,V_g,T_a,T_d,T_c),V_h,T_a,T_c,T_b)=c_Fun_Ofcomp(V_f,c_Fun_Ofcomp(V_g,V_h,T_d,T_c,T_b),T_a,T_d,T_b).
% 104.22/104.31  0 [] c_Com_Ocom_OSKIP!=c_Com_Ocom_OSemi(V_com1_H,V_com2_H).
% 104.22/104.31  0 [] -class_Orderings_Olinorder(T_a)|c_lesse_quals(V_y,V_x,T_a)|c_lesse_quals(V_x,V_y,T_a).
% 104.22/104.31  0 [] c_Finite__Set_Ofinite(V_A,T_a)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a).
% 104.22/104.31  0 [] c_lesse_quals(V_B,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B))=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B))=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B)),V_C)=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)).
% 104.22/104.31  0 [] c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_b),V_B),tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_lesse_quals(V_A,V_B,tc_fun(T_a,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_B,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_Fun_Oinj__on(V_f,V_A,T_a,T_b)| -c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A),T_a,T_b).
% 104.22/104.31  0 [] hBOOL(c_in(V_x,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),T_a)).
% 104.22/104.31  0 [] hBOOL(c_in(V_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),T_a)).
% 104.22/104.31  0 [] hBOOL(c_in(V_x,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B),T_a)).
% 104.22/104.31  0 [] c_Finite__Set_Ofun__left__comm__idem(c_Set_Oinsert(T_a),T_a,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A)!=hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_B)|hBOOL(c_in(V_x,V_B,T_a))|hBOOL(c_in(V_x,V_A,T_a))|V_A=V_B.
% 104.22/104.31  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)=V_A| -hBOOL(c_in(V_a,V_A,T_a)).
% 104.22/104.31  0 [] hAPP(c_Map_Orestrict__map(V_m,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a,T_b),v_x)=c_Option_Ooption_ONone(T_b).
% 104.22/104.31  0 [] hAPP(c_Fun_Ocomp(V_f,V_g,T_c,T_b,t_a),v_x)=hAPP(V_f,hAPP(V_g,v_x)).
% 104.22/104.31  0 [] hAPP(c_Fun_Oid(t_a),v_x)=v_x.
% 104.22/104.31  0 [] hAPP(c_Fun_Ofcomp(V_f,V_g,t_a,T_c,T_b),v_x)=hAPP(V_g,hAPP(V_f,v_x)).
% 104.22/104.31  0 [] -hBOOL(hAPP(V_P,c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,c_Hoare__Mirabelle_Otriple_Otriple(V_xa,V_xb,V_xc,t_b),t_b,t_a)))|hBOOL(hAPP(V_P,hAPP(hAPP(hAPP(V_f1,V_xa),V_xb),V_xc))).
% 104.22/104.31  0 [] -hBOOL(hAPP(V_P,c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,t_b),t_b,t_a)))|hBOOL(hAPP(V_P,hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2))).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Otriple_Otriple__rec(V_f1,c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_b),T_b,T_a)=hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Otriple_Otriple__case(V_f1,c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_b),T_b,T_a)=hAPP(hAPP(hAPP(V_f1,V_fun1),V_com),V_fun2).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_lesse_quals(V_ts,V_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts_H,T_a).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_lesse_quals(V_G_H,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__valids(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_lesse_quals(V_ts,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(hAPP(c_COMBC(c_fe_qual(tc_Com_Ostate),tc_Com_Ostate,tc_Com_Ostate,tc_bool),v_sko__Hoare__Mirabelle__Xescape__2(V_G,V_P,V_Q,V_c)),tc_fun(tc_Com_Ostate,tc_bool),t_a),V_c,c_COMBK(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xescape__1(V_G,V_P,V_Q,V_c)),tc_fun(tc_Com_Ostate,tc_bool),t_a),t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 104.22/104.31  0 [] hAPP(c_COMBI(t_a),v_P)=v_P.
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OWhile(V_b,V_c),c_Hoare__Mirabelle_Opeek__and(V_P,c_Fun_Ocomp(c_Not,V_b,tc_bool,tc_bool,tc_Com_Ostate),T_a),T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,V_b,T_a),V_c,V_P,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),T_a),V_c,V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OBODY(V_pn),V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OBODY(V_pn),V_Q,T_a)),V_G),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OBODY(V_pn),V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Option_Othe(c_Com_Obody(V_pn),tc_Com_Ocom),V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OCond(V_b,V_c,V_d),V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,c_Fun_Ocomp(c_Not,V_b,tc_bool,tc_bool,tc_Com_Ostate),T_a),V_d,V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(V_P,V_b,T_a),V_c,V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 104.22/104.31  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)=c_Orderings_Obot__class_Obot(T_a).
% 104.22/104.31  0 [] c_Collect(hAPP(c_fe_qual(T_a),V_a),T_a)=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))).
% 104.22/104.31  0 [] V_A=hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))|V_A=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))| -c_lesse_quals(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] hBOOL(c_in(V_x,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)).
% 104.22/104.31  0 [] hAPP(V_Inf,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))=V_a| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 104.22/104.31  0 [] hAPP(V_Sup,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))=V_a| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 104.22/104.31  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_a.
% 104.22/104.31  0 [] hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a))).
% 104.22/104.31  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)))=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))).
% 104.22/104.31  0 [] hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a),V_x)).
% 104.22/104.31  0 [] -class_Orderings_Olinorder(T_a)|c_Finite__Set_Olinorder__class_OMin(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_a.
% 104.22/104.31  0 [] c_The(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_x.
% 104.22/104.31  0 [] hAPP(V_Inf,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))))=hAPP(hAPP(V_inf,V_a),V_b)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 104.22/104.31  0 [] hAPP(V_Sup,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))))=hAPP(hAPP(V_sup,V_a),V_b)| -c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__e_q,V_less,V_inf,V_sup,V_bot,V_top,T_a).
% 104.22/104.31  0 [] c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_B),tc_fun(T_a,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] V_a=V_b| -hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a),V_b)).
% 104.22/104.31  0 [] c_Set_Ocontents(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_x.
% 104.22/104.31  0 [] V_y=c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)| -hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_y)).
% 104.22/104.31  0 [] V_b=V_a| -hBOOL(c_in(V_b,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)).
% 104.22/104.31  0 [] c_Finite__Set_Ofold1(V_f,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_a.
% 104.22/104.31  0 [] -class_Orderings_Olinorder(T_a)|c_Finite__Set_Olinorder__class_OMax(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_a.
% 104.22/104.31  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),tc_fun(T_a,tc_bool)))=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A).
% 104.22/104.31  0 [] -class_Orderings_Oorder(T_a)|c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_a,T_a)=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))).
% 104.22/104.31  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_xa)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))|hBOOL(c_in(V_x,V_xa,T_a)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))),V_A).
% 104.22/104.31  0 [] -class_Complete__Lattice_Ocomplete__lattice(T_a)|c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),T_a)=V_a.
% 104.22/104.31  0 [] hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x)=c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_xa,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))| -hBOOL(hAPP(hAPP(V_x,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__2(V_G,V_P,V_Q,V_c)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_Q_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconse_q12__3(V_P,V_P_H,V_Q,V_Q_H)))| -hBOOL(hAPP(hAPP(V_P_H,V_Z_H),v_sko__Hoare__Mirabelle__Xconse_q12__2(V_P,V_P_H,V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_xa,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))| -hBOOL(hAPP(hAPP(V_x,V_Z_H),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G,V_P,V_Q,V_c)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(V_G,V_P,V_Q,V_c))).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__2(V_G,V_P,V_Q,V_c))).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_Q_H,v_sko__Hoare__Mirabelle__Xconse_q2__1(V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconse_q2__2(V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xconse_q12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconse_q12__2(V_P,V_P_H,V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xconse_q1__1(V_P,V_P_H)),v_sko__Hoare__Mirabelle__Xconse_q1__2(V_P,V_P_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__3(V_G,V_P,V_Q,V_c,V_x,V_xa)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_x,V_c,V_xa,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(V_P_H,v_sko__Hoare__Mirabelle__Xconse_q1__1(V_P,V_P_H)),v_sko__Hoare__Mirabelle__Xconse_q1__2(V_P,V_P_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xconse_q12__1(V_P,V_P_H,V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconse_q12__3(V_P,V_P_H,V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P_H,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(V_Q,v_sko__Hoare__Mirabelle__Xconse_q2__1(V_Q,V_Q_H)),v_sko__Hoare__Mirabelle__Xconse_q2__2(V_Q,V_Q_H)))| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q_H,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(V_P,v_sko__Hoare__Mirabelle__Xescape__1(V_G,V_P,V_Q,V_c)),v_sko__Hoare__Mirabelle__Xescape__2(V_G,V_P,V_Q,V_c))).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSKIP,V_P,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,c_Com_Ocom_OSemi(V_c,V_d),V_R,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_Q,V_d,V_R,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_P,V_c,V_Q,T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),V_ts),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),V_ts),T_a).
% 104.22/104.31  0 [] hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A),V_x)).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_G_H,T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G_H,V_ts,T_a).
% 104.22/104.31  0 [] c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))!=hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a)!=c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)|V_fun2=V_fun2_H.
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a)!=c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)|V_com=V_com_H.
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Otriple_Otriple(V_fun1,V_com,V_fun2,T_a)!=c_Hoare__Mirabelle_Otriple_Otriple(V_fun1_H,V_com_H,V_fun2_H,T_a)|V_fun1=V_fun1_H.
% 104.22/104.31  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))|V_b=V_c|V_b=V_d.
% 104.22/104.31  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))|V_a=V_d|V_b=V_d.
% 104.22/104.31  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))|V_b=V_c|V_a=V_c.
% 104.22/104.31  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(T_a),V_c),hAPP(hAPP(c_Set_Oinsert(T_a),V_d),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))|V_a=V_d|V_a=V_c.
% 104.22/104.31  0 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)).
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)),T_a).
% 104.22/104.31  0 [] hBOOL(hAPP(V_A,V_x))|V_y=V_x| -hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y),V_A),V_x)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_x),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A))=hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A).
% 104.22/104.31  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),V_A)!=c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)).
% 104.22/104.31  0 [] -class_Orderings_Obot(T_b)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x)=c_Orderings_Obot__class_Obot(T_b).
% 104.22/104.31  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_x),hAPP(hAPP(c_Set_Oinsert(T_a),V_y),V_A))=hAPP(hAPP(c_Set_Oinsert(T_a),V_y),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),V_A)).
% 104.22/104.31  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_xa),hAPP(hAPP(c_Set_Oinsert(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))))=hAPP(hAPP(c_Set_Oinsert(T_a),V_x),hAPP(hAPP(c_Set_Oinsert(T_a),V_xa),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))).
% 104.22/104.31  0 [] hAPP(hAPP(c_Set_Oinsert(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))!=hAPP(hAPP(c_Set_Oinsert(T_a),V_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))|V_a=V_b.
% 104.22/104.31  0 [] c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool))),T_a)| -c_Hoare__Mirabelle_Ohoare__derivs(V_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t),V_ts),T_a).
% 104.22/104.31  0 [] hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y),V_A),V_x))| -hBOOL(hAPP(V_A,V_x)).
% 104.22/104.31  0 [] hBOOL(hAPP(hAPP(v_P,v_x),v_xa)).
% 104.22/104.31  0 [] -c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(V_xb,v_c,V_xc,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 104.22/104.31  0 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))| -class_Complete__Lattice_Ocomplete__lattice(T_1).
% 104.22/104.31  0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 104.22/104.31  0 [] class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 104.22/104.31  0 [] class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))| -class_Lattices_Odistrib__lattice(T_1).
% 104.22/104.31  0 [] class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))| -class_Lattices_Obounded__lattice(T_1).
% 104.22/104.31  0 [] class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1))| -class_Finite__Set_Ofinite_Ofinite(T_1)| -class_Finite__Set_Ofinite_Ofinite(T_2).
% 104.22/104.31  0 [] class_Orderings_Opreorder(tc_fun(T_2,T_1))| -class_Orderings_Opreorder(T_1).
% 104.22/104.31  0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 104.22/104.31  0 [] class_Orderings_Oorder(tc_fun(T_2,T_1))| -class_Orderings_Oorder(T_1).
% 104.22/104.31  0 [] class_Orderings_Obot(tc_fun(T_2,T_1))| -class_Orderings_Obot(T_1).
% 104.22/104.31  0 [] class_HOL_Ominus(tc_fun(T_2,T_1))| -class_HOL_Ominus(T_1).
% 104.22/104.31  0 [] class_HOL_Oord(tc_fun(T_2,T_1))| -class_HOL_Oord(T_1).
% 104.22/104.31  0 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 104.22/104.31  0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 104.22/104.31  0 [] class_Lattices_Olower__semilattice(tc_bool).
% 104.22/104.31  0 [] class_Lattices_Odistrib__lattice(tc_bool).
% 104.22/104.31  0 [] class_Lattices_Obounded__lattice(tc_bool).
% 104.22/104.31  0 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 104.22/104.31  0 [] class_Orderings_Opreorder(tc_bool).
% 104.22/104.31  0 [] class_Lattices_Olattice(tc_bool).
% 104.22/104.31  0 [] class_Orderings_Oorder(tc_bool).
% 104.22/104.31  0 [] class_Orderings_Obot(tc_bool).
% 104.22/104.31  0 [] class_HOL_Ominus(tc_bool).
% 104.22/104.31  0 [] class_HOL_Oord(tc_bool).
% 104.22/104.31  0 [] class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(T_1))| -class_Finite__Set_Ofinite_Ofinite(T_1).
% 104.22/104.31  0 [] hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_x),V_x)).
% 104.22/104.31  0 [] V_X=V_Y| -hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_X),V_Y)).
% 104.22/104.31  end_of_list.
% 104.22/104.31  
% 104.22/104.31  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 104.22/104.31  
% 104.22/104.31  This ia a non-Horn set with equality.  The strategy will be
% 104.22/104.31  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 104.22/104.31  deletion, with positive clauses in sos and nonpositive
% 104.22/104.31  clauses in usable.
% 104.22/104.31  
% 104.22/104.31     dependent: set(knuth_bendix).
% 104.22/104.31     dependent: set(anl_eq).
% 104.22/104.31     dependent: set(para_from).
% 104.22/104.31     dependent: set(para_into).
% 104.22/104.31     dependent: clear(para_from_right).
% 104.22/104.31     dependent: clear(para_into_right).
% 104.22/104.31     dependent: set(para_from_vars).
% 104.22/104.31     dependent: set(eq_units_both_ways).
% 104.22/104.31     dependent: set(dynamic_demod_all).
% 104.22/104.31     dependent: set(dynamic_demod).
% 104.22/104.31     dependent: set(order_eq).
% 104.22/104.31     dependent: set(back_demod).
% 104.22/104.31     dependent: set(lrpo).
% 104.22/104.31     dependent: set(hyper_res).
% 104.22/104.31     dependent: set(unit_deletion).
% 104.22/104.31     dependent: set(factor).
% 104.22/104.31  
% 104.22/104.31  ------------> process usable:
% 104.22/104.31  ** KEPT (pick-wt=13): 1 [] c_Fun_Ofun__upd(A,B,C,D,E)!=A|hAPP(A,B)=C.
% 104.22/104.31  ** KEPT (pick-wt=41): 3 [copy,2,flip.1] c_Fun_Ofun__upd(c_Map_Orestrict__map(A,c_HOL_Ominus__class_Ominus(B,hAPP(hAPP(c_Set_Oinsert(C),D),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))),tc_fun(C,tc_bool)),C,E),D,F,C,tc_Option_Ooption(E))=c_Fun_Ofun__upd(c_Map_Orestrict__map(A,B,C,E),D,F,C,tc_Option_Ooption(E))| -hBOOL(c_in(D,B,C)).
% 104.22/104.31  ** KEPT (pick-wt=41): 4 [] c_Map_Orestrict__map(c_Fun_Ofun__upd(A,B,C,D,tc_Option_Ooption(E)),F,D,E)=c_Fun_Ofun__upd(c_Map_Orestrict__map(A,c_HOL_Ominus__class_Ominus(F,hAPP(hAPP(c_Set_Oinsert(D),B),c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))),tc_fun(D,tc_bool)),D,E),B,C,D,tc_Option_Ooption(E))| -hBOOL(c_in(B,F,D)).
% 104.22/104.31  ** KEPT (pick-wt=6): 5 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OBODY(C).
% 104.22/104.31  ** KEPT (pick-wt=14): 6 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C.
% 104.22/104.31  ** KEPT (pick-wt=14): 7 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D.
% 104.22/104.31  ** KEPT (pick-wt=25): 8 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMax(B,A),c_Finite__Set_Olinorder__class_OMax(C,A),A)| -c_Finite__Set_Ofinite(C,A)|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 104.22/104.31  ** KEPT (pick-wt=25): 9 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)).
% 104.22/104.31  ** KEPT (pick-wt=25): 10 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)).
% 104.22/104.32  ** KEPT (pick-wt=25): 11 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)).
% 104.22/104.32  ** KEPT (pick-wt=25): 12 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)).
% 104.22/104.32  ** KEPT (pick-wt=17): 13 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),B),C)).
% 104.22/104.32  ** KEPT (pick-wt=17): 14 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),B),D),C)).
% 104.22/104.32  ** KEPT (pick-wt=25): 15 [] hAPP(A,B)!=hAPP(A,C)| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E))|B=C| -c_Fun_Oinj__on(A,D,E,F).
% 104.22/104.32    Following clause subsumed by 15 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E))| -c_Fun_Oinj__on(A,D,E,F)|B=C.
% 104.22/104.32    Following clause subsumed by 15 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E))| -c_Fun_Oinj__on(A,D,E,F)|B=C.
% 104.22/104.32    Following clause subsumed by 15 during input processing: 0 [] hAPP(A,B)!=hAPP(A,C)| -c_Fun_Oinj__on(A,D,E,F)|B=C| -hBOOL(c_in(C,D,E))| -hBOOL(c_in(B,D,E)).
% 104.22/104.32  ** KEPT (pick-wt=16): 16 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)=B| -c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 104.22/104.32  ** KEPT (pick-wt=16): 17 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)=C| -c_lesse_quals(C,B,tc_fun(A,tc_bool)).
% 104.22/104.32  ** KEPT (pick-wt=14): 18 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=B| -c_lesse_quals(B,C,A).
% 104.22/104.32  ** KEPT (pick-wt=14): 19 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)!=B|c_lesse_quals(B,C,A).
% 104.22/104.32  ** KEPT (pick-wt=14): 20 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=C| -c_lesse_quals(C,B,A).
% 104.22/104.32  ** KEPT (pick-wt=25): 21 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool))| -c_lesse_quals(C,D,tc_fun(A,tc_bool))| -c_lesse_quals(B,D,tc_fun(A,tc_bool)).
% 104.22/104.32    Following clause subsumed by 21 during input processing: 0 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool))| -c_lesse_quals(C,D,tc_fun(A,tc_bool))| -c_lesse_quals(B,D,tc_fun(A,tc_bool)).
% 104.22/104.32  ** KEPT (pick-wt=19): 22 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 104.22/104.32  ** KEPT (pick-wt=11): 23 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),A).
% 104.22/104.32  ** KEPT (pick-wt=11): 24 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B),A).
% 104.22/104.32    Following clause subsumed by 22 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 104.22/104.32    Following clause subsumed by 22 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),D,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(B,D,A).
% 104.22/104.32  ** KEPT (pick-wt=11): 25 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B),A).
% 104.22/104.32  ** KEPT (pick-wt=11): 26 [] -class_Lattices_Olattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C),A).
% 104.22/104.32  ** KEPT (pick-wt=15): 27 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),B).
% 104.22/104.32  ** KEPT (pick-wt=15): 28 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),B).
% 104.22/104.32  ** KEPT (pick-wt=28): 29 [] c_Complete__Lattice_Ocomplete__lattice(A,B,c_COMBC(C,D,D,tc_bool),c_COMBC(E,D,D,tc_bool),F,G,H,I,D)| -c_Complete__Lattice_Ocomplete__lattice(B,A,C,E,G,F,I,H,D).
% 104.22/104.32  ** KEPT (pick-wt=21): 30 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_HOL_Ominus__class_Ominus(C,B,tc_fun(A,tc_bool)))=C| -c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 104.22/104.32  ** KEPT (pick-wt=6): 32 [copy,31,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP.
% 104.22/104.32  ** KEPT (pick-wt=31): 33 [] -class_Lattices_Olattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)),A).
% 104.22/104.32  ** KEPT (pick-wt=11): 34 [] hBOOL(c_in(A,c_Collect(B,C),C))| -hBOOL(hAPP(B,A)).
% 104.22/104.32  ** KEPT (pick-wt=11): 35 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Collect(A,C),C)).
% 104.22/104.32  ** KEPT (pick-wt=20): 36 [] hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D))|hBOOL(c_in(A,C,D))| -hBOOL(c_in(A,B,D)).
% 104.22/104.32    Following clause subsumed by 36 during input processing: 0 [] hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D))|hBOOL(c_in(A,C,D))| -hBOOL(c_in(A,B,D)).
% 104.22/104.32  ** KEPT (pick-wt=16): 37 [] hBOOL(c_in(A,B,C))| -c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(C),A),D),B,tc_fun(C,tc_bool)).
% 104.22/104.32  ** KEPT (pick-wt=18): 38 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,c_COMBK(C,A,D),D,A)=C|B=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)).
% 104.22/104.32  ** KEPT (pick-wt=36): 39 [] c_Fun_Ofun__upd(c_Map_Orestrict__map(A,B,C,D),E,c_Option_Ooption_ONone(D),C,tc_Option_Ooption(D))=c_Map_Orestrict__map(A,c_HOL_Ominus__class_Ominus(B,hAPP(hAPP(c_Set_Oinsert(C),E),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))),tc_fun(C,tc_bool)),C,D)| -hBOOL(c_in(E,B,C)).
% 104.22/104.32  ** KEPT (pick-wt=9): 40 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,A,C)).
% 104.22/104.32  ** KEPT (pick-wt=9): 41 [] hBOOL(c_in(A,B,C))| -hBOOL(hAPP(B,A)).
% 104.22/104.32  ** KEPT (pick-wt=10): 42 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),B)=B.
% 104.22/104.32  ** KEPT (pick-wt=18): 43 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),c_Collect(A,C)),C)).
% 104.22/104.32  ** KEPT (pick-wt=30): 44 [] -class_Lattices_Odistrib__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)).
% 104.22/104.32  ** KEPT (pick-wt=30): 46 [copy,45,flip.2] -class_Lattices_Odistrib__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)).
% 104.22/104.32  ** KEPT (pick-wt=23): 47 [] -class_Lattices_Olattice(A)|hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,A)),B),C),v_x)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(B,v_x)),hAPP(C,v_x)).
% 104.22/104.32  ** KEPT (pick-wt=21): 48 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))=B.
% 104.22/104.32  ** KEPT (pick-wt=6): 49 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSemi(B,C).
% 104.22/104.32  ** KEPT (pick-wt=35): 50 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool))| -hBOOL(c_in(C,A,B))| -c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool)).
% 104.22/104.32  ** KEPT (pick-wt=35): 51 [] c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -hBOOL(c_in(C,A,B))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool)).
% 104.22/104.32    Following clause subsumed by 51 during input processing: 0 [] c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -hBOOL(c_in(C,A,B))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool)).
% 104.22/104.32  ** KEPT (pick-wt=17): 52 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(hAPP(B,C),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,E,A),A)| -hBOOL(c_in(C,D,E)).
% 104.22/104.32  ** KEPT (pick-wt=19): 53 [] c_lesse_quals(hAPP(A,B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,A,D,tc_fun(E,tc_bool)),tc_fun(E,tc_bool))| -hBOOL(c_in(B,C,D)).
% 104.22/104.32  ** KEPT (pick-wt=23): 54 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(A),B),C),D,tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool))| -hBOOL(c_in(B,D,A)).
% 104.22/104.32  ** KEPT (pick-wt=5): 55 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP.
% 104.22/104.32  ** KEPT (pick-wt=28): 56 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -hBOOL(c_in(C,D,A))| -c_lesse_quals(B,c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(A),D,A),A)|D=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Finite__Set_Ofinite(D,A).
% 104.22/104.32  ** KEPT (pick-wt=6): 57 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OWhile(B,C).
% 104.22/104.32  ** KEPT (pick-wt=11): 58 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C).
% 104.22/104.32  ** KEPT (pick-wt=15): 59 [] c_Fun_Oinj__on(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),D,E)| -c_Fun_Oinj__on(A,B,D,E).
% 104.22/104.32  ** KEPT (pick-wt=19): 60 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(A),B),C),A)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),c_Complete__Lattice_OInf__class_OInf(C,A)).
% 104.22/104.32  ** KEPT (pick-wt=7): 61 [] -class_Lattices_Oupper__semilattice(A)|c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Oupper__semilattice__class_Osup(A),A,A).
% 104.22/104.32  ** KEPT (pick-wt=10): 62 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|B=D.
% 104.22/104.32  ** KEPT (pick-wt=10): 63 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSemi(C,D)|A=C.
% 104.22/104.32  ** KEPT (pick-wt=7): 64 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D).
% 104.22/104.32  ** KEPT (pick-wt=19): 65 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(A),B),C),A)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),c_Complete__Lattice_OSup__class_OSup(C,A)).
% 104.22/104.32  ** KEPT (pick-wt=8): 66 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 104.22/104.32  ** KEPT (pick-wt=14): 67 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,C,tc_fun(B,tc_bool)),B)| -c_Finite__Set_Ofinite(C,B).
% 104.22/104.32    Following clause subsumed by 58 during input processing: 0 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(A,C)| -c_Finite__Set_Ofinite(B,C).
% 104.22/104.32  ** KEPT (pick-wt=22): 68 [] c_Finite__Set_Ofinite(hAPP(A,B),C)| -hBOOL(c_in(B,D,E))| -c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,A,E,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(D,E).
% 104.22/104.32  ** KEPT (pick-wt=25): 69 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool))!=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))|hAPP(B,E)=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))| -hBOOL(c_in(E,A,C)).
% 104.22/104.32  ** KEPT (pick-wt=8): 70 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 104.22/104.32  ** KEPT (pick-wt=15): 71 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(B,D,tc_fun(C,tc_bool)),C)).
% 104.22/104.32  ** KEPT (pick-wt=15): 72 [] -hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,c_HOL_Ominus__class_Ominus(D,B,tc_fun(C,tc_bool)),C)).
% 104.22/104.32  ** KEPT (pick-wt=25): 73 [] c_lesse_quals(hAPP(A,B),C,tc_fun(D,tc_bool))| -hBOOL(c_in(B,E,F))| -c_lesse_quals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(E,A,F,tc_fun(D,tc_bool)),C,tc_fun(D,tc_bool)).
% 104.22/104.32  ** KEPT (pick-wt=8): 74 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 104.22/104.32  ** KEPT (pick-wt=29): 75 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(B,C)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,E,tc_fun(A,tc_bool)))=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(D,B,E,tc_fun(A,tc_bool))| -hBOOL(c_in(C,D,E)).
% 104.22/104.32  ** KEPT (pick-wt=12): 76 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|C=F.
% 104.22/104.32  ** KEPT (pick-wt=12): 77 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|B=E.
% 104.22/104.32  ** KEPT (pick-wt=12): 78 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OCond(D,E,F)|A=D.
% 104.22/104.32  ** KEPT (pick-wt=16): 79 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(C,A)| -c_Finite__Set_Ofinite(B,A).
% 104.22/104.32    Following clause subsumed by 79 during input processing: 0 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(C,A)| -c_Finite__Set_Ofinite(B,A).
% 104.22/104.32  ** KEPT (pick-wt=22): 80 [] -class_Orderings_Oorder(A)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A),tc_fun(A,tc_bool))| -c_lesse_quals(C,E,A)| -c_lesse_quals(D,B,A).
% 104.22/104.32  ** KEPT (pick-wt=22): 81 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,B,A)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(D,B,A),c_SetInterval_Oord__class_OatLeastAtMost(E,C,A),tc_fun(A,tc_bool)).
% 104.22/104.32  ** KEPT (pick-wt=22): 82 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(C,D,A)| -c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(C,D,A),c_SetInterval_Oord__class_OatLeastAtMost(B,E,A),tc_fun(A,tc_bool)).
% 104.22/104.32  ** KEPT (pick-wt=37): 83 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),D)!=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))|c_lesse_quals(D,B,tc_fun(A,tc_bool)).
% 104.22/104.32  ** KEPT (pick-wt=37): 84 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))| -c_lesse_quals(D,B,tc_fun(A,tc_bool)).
% 104.22/104.32  ** KEPT (pick-wt=18): 85 [] -class_Orderings_Oorder(A)|c_lesse_quals(c_SetInterval_Oord__class_OatLeastAtMost(B,C,A),c_SetInterval_Oord__class_OatLeastAtMost(D,E,A),tc_fun(A,tc_bool))|c_lesse_quals(B,C,A).
% 104.22/104.32  ** KEPT (pick-wt=19): 86 [] hBOOL(hAPP(A,B))|hBOOL(hAPP(C,B))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(D,tc_bool)),C),A),B)).
% 104.22/104.32  ** KEPT (pick-wt=15): 87 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D))| -hBOOL(hAPP(C,D)).
% 104.22/104.32  ** KEPT (pick-wt=15): 88 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D))| -hBOOL(hAPP(B,D)).
% 104.22/104.32  ** KEPT (pick-wt=22): 89 [] hBOOL(c_in(A,B,C))|hBOOL(c_in(A,D,C))| -hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D),B),C)).
% 104.22/104.32  ** KEPT (pick-wt=7): 90 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OBODY(D).
% 104.22/104.32  ** KEPT (pick-wt=7): 91 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OCond(B,C,D).
% 104.22/104.32  ** KEPT (pick-wt=25): 92 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)).
% 104.22/104.32  ** KEPT (pick-wt=25): 93 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D)).
% 104.22/104.32  ** KEPT (pick-wt=25): 94 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),D)).
% 104.22/104.32  ** KEPT (pick-wt=25): 95 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)).
% 104.22/104.32  ** KEPT (pick-wt=25): 96 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,D,tc_fun(A,tc_bool))|hAPP(C,E)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -hBOOL(c_in(E,B,D)).
% 104.22/104.32  ** KEPT (pick-wt=13): 97 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),A),C),B).
% 104.22/104.32  ** KEPT (pick-wt=13): 98 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),A),B).
% 104.22/104.32    Following clause subsumed by 55 during input processing: 0 [flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSKIP.
% 104.22/104.32  ** KEPT (pick-wt=28): 99 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),c_HOL_Ominus__class_Ominus(D,E,tc_fun(C,tc_bool)),tc_fun(C,tc_bool))| -c_lesse_quals(E,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 104.22/104.32  ** KEPT (pick-wt=23): 100 [] -hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),B)!=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 104.22/104.32  ** KEPT (pick-wt=31): 101 [] -class_Lattices_Olattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)),A).
% 104.22/104.32  ** KEPT (pick-wt=15): 102 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C))=B.
% 104.22/104.32  ** KEPT (pick-wt=15): 103 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 104.22/104.32    Following clause subsumed by 103 during input processing: 0 [] A=B| -c_lesse_quals(B,A,tc_fun(C,tc_bool))| -c_lesse_quals(A,B,tc_fun(C,tc_bool)).
% 104.22/104.32  ** KEPT (pick-wt=13): 104 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 104.22/104.32    Following clause subsumed by 104 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(C,B,A)| -c_lesse_quals(B,C,A).
% 104.22/104.32    Following clause subsumed by 104 during input processing: 0 [] -class_Orderings_Oorder(A)|B=C| -c_lesse_quals(B,C,A)| -c_lesse_quals(C,B,A).
% 104.22/104.32  ** KEPT (pick-wt=15): 105 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C))=B.
% 104.22/104.32  ** KEPT (pick-wt=14): 106 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=B| -c_lesse_quals(C,B,A).
% 104.22/104.32  ** KEPT (pick-wt=14): 107 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)!=C|c_lesse_quals(B,C,A).
% 104.22/104.32  ** KEPT (pick-wt=14): 108 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=C| -c_lesse_quals(B,C,A).
% 104.22/104.32  ** KEPT (pick-wt=22): 109 [] c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(B,tc_bool))|hBOOL(c_in(C,A,B)).
% 104.22/104.32  ** KEPT (pick-wt=22): 110 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))|hBOOL(c_in(D,A,C))| -c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(C),D),B),tc_fun(C,tc_bool)).
% 104.22/104.32    Following clause subsumed by 109 during input processing: 0 [] c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(B,tc_bool))|hBOOL(c_in(C,A,B)).
% 104.22/104.32    Following clause subsumed by 110 during input processing: 0 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(C),D),B),tc_fun(C,tc_bool))|hBOOL(c_in(D,A,C)).
% 104.22/104.32  ** KEPT (pick-wt=23): 111 [] hBOOL(c_in(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,D,tc_fun(E,tc_bool)),E))| -hBOOL(c_in(A,hAPP(C,F),E))| -hBOOL(c_in(F,B,D)).
% 104.22/104.32    Following clause subsumed by 111 during input processing: 0 [] hBOOL(c_in(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,C,D,tc_fun(E,tc_bool)),E))| -hBOOL(c_in(A,hAPP(C,F),E))| -hBOOL(c_in(F,B,D)).
% 104.22/104.32  ** KEPT (pick-wt=23): 112 [] c_Fun_Ocomp(A,B,C,D,E)!=c_Fun_Ocomp(c_Fun_Oid(D),F,D,D,E)|hAPP(A,hAPP(B,G))=hAPP(F,G).
% 104.22/104.32  ** KEPT (pick-wt=19): 113 [] -class_HOL_Ominus(A)|hAPP(c_HOL_Ominus__class_Ominus(B,C,tc_fun(t_a,A)),v_x)=c_HOL_Ominus__class_Ominus(hAPP(B,v_x),hAPP(C,v_x),A).
% 104.22/104.32  ** KEPT (pick-wt=19): 114 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),B),tc_fun(C,tc_bool)).
% 104.22/104.32  ** KEPT (pick-wt=19): 115 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),B),D),tc_fun(C,tc_bool)).
% 104.22/104.32  ** KEPT (pick-wt=15): 116 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A).
% 104.22/104.32  ** KEPT (pick-wt=15): 117 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),D),C),A).
% 104.22/104.32  ** KEPT (pick-wt=15): 118 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),D,A)| -c_lesse_quals(B,D,A).
% 104.22/104.32  ** KEPT (pick-wt=15): 119 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),D,A)| -c_lesse_quals(C,D,A).
% 104.22/104.32    Following clause subsumed by 116 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A).
% 104.22/104.32    Following clause subsumed by 117 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),D),C),A).
% 104.22/104.32  ** KEPT (pick-wt=23): 120 [] hBOOL(hAPP(hAPP(A,hAPP(B,C)),D))| -hBOOL(c_in(D,C,E))| -c_Complete__Lattice_Ocomplete__lattice(B,F,A,G,H,I,J,K,E).
% 104.22/104.32  ** KEPT (pick-wt=23): 121 [] hBOOL(hAPP(hAPP(A,B),hAPP(C,D)))| -hBOOL(c_in(B,D,E))| -c_Complete__Lattice_Ocomplete__lattice(F,C,A,G,H,I,J,K,E).
% 104.22/104.32  ** KEPT (pick-wt=15): 122 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B).
% 104.22/104.32  ** KEPT (pick-wt=15): 123 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),B).
% 104.22/104.32  ** KEPT (pick-wt=8): 124 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OBODY(B)|A=B.
% 104.22/104.32  ** KEPT (pick-wt=10): 125 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OWhile(C,D)|A=C.
% 104.22/104.32  ** KEPT (pick-wt=10): 126 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OWhile(C,D)|B=D.
% 104.22/104.32  ** KEPT (pick-wt=20): 127 [] -class_Lattices_Oupper__semilattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C).
% 104.22/104.32  ** KEPT (pick-wt=20): 128 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C).
% 104.22/104.32    Following clause subsumed by 32 during input processing: 0 [] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSKIP.
% 104.22/104.32  ** KEPT (pick-wt=21): 129 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool)),E))| -hBOOL(hAPP(hAPP(B,F),E))| -hBOOL(c_in(F,A,C)).
% 104.22/104.32    Following clause subsumed by 129 during input processing: 0 [] hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,B,C,tc_fun(D,tc_bool)),E))| -hBOOL(hAPP(hAPP(B,F),E))| -hBOOL(c_in(F,A,C)).
% 104.22/104.32  ** KEPT (pick-wt=8): 130 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 104.22/104.32  ** KEPT (pick-wt=5): 131 [] -class_Finite__Set_Ofinite_Ofinite(A)|c_Finite__Set_Ofinite(B,A).
% 104.22/104.32    Following clause subsumed by 14 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),B),c_Collect(D,C)),C)).
% 104.22/104.32  ** KEPT (pick-wt=4): 133 [copy,132,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSKIP.
% 104.22/104.32  ** KEPT (pick-wt=15): 134 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),D),A),B)).
% 104.22/104.32  ** KEPT (pick-wt=15): 135 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),A),D),B)).
% 104.22/104.32  ** KEPT (pick-wt=17): 136 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),E),B),C,D).
% 104.22/104.32  ** KEPT (pick-wt=17): 137 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),B),E),C,D).
% 104.22/104.32  ** KEPT (pick-wt=24): 138 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),D,tc_fun(C,tc_bool))| -c_lesse_quals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),B),D),tc_fun(C,tc_bool)).
% 104.22/104.32  ** KEPT (pick-wt=24): 139 [] c_lesse_quals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,C,tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool)).
% 104.22/104.32  ** KEPT (pick-wt=7): 140 [] -class_Lattices_Olower__semilattice(A)|c_Finite__Set_Ofun__left__comm__idem(c_Lattices_Olower__semilattice__class_Oinf(A),A,A).
% 104.22/104.32  ** KEPT (pick-wt=13): 141 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(C,A).
% 104.22/104.32  ** KEPT (pick-wt=13): 142 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),A)| -c_Finite__Set_Ofinite(B,A).
% 104.22/104.32  ** KEPT (pick-wt=16): 143 [] -class_HOL_Oord(A)|c_lesse_quals(hAPP(B,C),hAPP(D,C),A)| -c_lesse_quals(B,D,tc_fun(E,A)).
% 104.22/104.32  ** KEPT (pick-wt=49): 144 [] c_Hoare__Mirabelle_Ohoare__valids(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(C,c_Com_Ocom_OWhile(D,E),c_Hoare__Mirabelle_Opeek__and(C,c_Fun_Ocomp(c_Not,D,tc_bool,tc_bool,tc_Com_Ostate),B),B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B)| -c_Hoare__Mirabelle_Ohoare__valids(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(C,D,B),E,C,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B).
% 104.22/104.32  ** KEPT (pick-wt=11): 145 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),c_Orderings_Obot__class_Obot(A)),B)=B.
% 104.22/104.32  ** KEPT (pick-wt=11): 146 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),c_Orderings_Obot__class_Obot(A))=B.
% 104.22/104.32  ** KEPT (pick-wt=12): 147 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),c_Orderings_Obot__class_Obot(A)),B)=c_Orderings_Obot__class_Obot(A).
% 104.22/104.32  ** KEPT (pick-wt=12): 148 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),c_Orderings_Obot__class_Obot(A))=c_Orderings_Obot__class_Obot(A).
% 104.22/104.32  ** KEPT (pick-wt=7): 149 [] -class_Orderings_Obot(A)|c_lesse_quals(c_Orderings_Obot__class_Obot(A),B,A).
% 104.22/104.32  ** KEPT (pick-wt=15): 150 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)!=c_Orderings_Obot__class_Obot(A)|B=c_Orderings_Obot__class_Obot(A).
% 104.22/104.32  ** KEPT (pick-wt=15): 151 [] -class_Lattices_Obounded__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)!=c_Orderings_Obot__class_Obot(A)|C=c_Orderings_Obot__class_Obot(A).
% 104.22/104.32  ** KEPT (pick-wt=18): 152 [] hAPP(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))=C| -c_Complete__Lattice_Ocomplete__lattice(A,D,E,F,G,H,I,C,B).
% 104.22/104.32  ** KEPT (pick-wt=18): 153 [] hAPP(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))=C| -c_Complete__Lattice_Ocomplete__lattice(D,A,E,F,G,H,C,I,B).
% 104.22/104.32  ** KEPT (pick-wt=12): 154 [] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_Collect(B,A)| -hBOOL(hAPP(B,C)).
% 104.22/104.32  ** KEPT (pick-wt=8): 155 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 104.22/104.32    Following clause subsumed by 155 during input processing: 0 [] hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 104.22/104.32    Following clause subsumed by 155 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 104.22/104.32    Following clause subsumed by 155 during input processing: 0 [] -hBOOL(c_in(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B)).
% 104.22/104.32  ** KEPT (pick-wt=15): 156 [] A=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -c_lesse_quals(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 104.22/104.32  ** KEPT (pick-wt=12): 157 [] c_Collect(A,B)!=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -hBOOL(hAPP(A,C)).
% 104.22/104.32  ** KEPT (pick-wt=10): 158 [] -hBOOL(hAPP(c_Finite__Set_Ofold1Set(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B),C)).
% 104.22/104.32    Following clause subsumed by 155 during input processing: 0 [] -hBOOL(hAPP(A,B))| -hBOOL(c_in(B,c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),C)).
% 104.22/104.32  ** KEPT (pick-wt=19): 159 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 104.22/104.32  ** KEPT (pick-wt=19): 160 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 104.22/104.32  ** KEPT (pick-wt=26): 161 [] hAPP(hAPP(c_Set_Oinsert(A),B),c_HOL_Ominus__class_Ominus(C,hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),tc_fun(A,tc_bool)))=C| -hBOOL(c_in(B,C,A)).
% 104.22/104.32  ** KEPT (pick-wt=25): 162 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))),A)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C).
% 104.22/104.32  ** KEPT (pick-wt=36): 163 [] c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(B,tc_bool))| -c_lesse_quals(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool)).
% 104.22/104.32  ** KEPT (pick-wt=25): 164 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))),A)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C).
% 104.22/104.32  ** KEPT (pick-wt=22): 165 [] c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(A),B),C),hAPP(hAPP(c_Set_Oinsert(A),B),D),tc_fun(A,tc_bool))| -c_lesse_quals(C,D,tc_fun(A,tc_bool)).
% 104.22/104.32  ** KEPT (pick-wt=15): 166 [] hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),B))| -hBOOL(c_in(A,D,B)).
% 104.22/104.32    Following clause subsumed by 166 during input processing: 0 [] hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),B))| -hBOOL(c_in(A,D,B)).
% 104.22/104.32  ** KEPT (pick-wt=26): 167 [] hAPP(A,hAPP(hAPP(c_Set_Oinsert(B),C),D))=hAPP(hAPP(E,C),hAPP(A,D))| -c_Complete__Lattice_Ocomplete__lattice(A,F,G,H,E,I,J,K,B).
% 104.22/104.32  ** KEPT (pick-wt=26): 168 [] hAPP(A,hAPP(hAPP(c_Set_Oinsert(B),C),D))=hAPP(hAPP(E,C),hAPP(A,D))| -c_Complete__Lattice_Ocomplete__lattice(F,A,G,H,I,E,J,K,B).
% 104.22/104.32  ** KEPT (pick-wt=18): 169 [] hBOOL(c_in(A,B,C))|A=D| -hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(C),D),B),C)).
% 104.22/104.32  ** KEPT (pick-wt=11): 170 [] c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(A),B),C),A)| -c_Finite__Set_Ofinite(C,A).
% 104.22/104.32  ** KEPT (pick-wt=16): 171 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=C| -c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 104.22/104.32  ** KEPT (pick-wt=16): 172 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=B| -c_lesse_quals(C,B,tc_fun(A,tc_bool)).
% 104.22/104.33  ** KEPT (pick-wt=16): 173 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)!=C|c_lesse_quals(B,C,tc_fun(A,tc_bool)).
% 104.22/104.33  ** KEPT (pick-wt=16): 174 [] hAPP(c_Map_Orestrict__map(A,B,C,D),E)=hAPP(A,E)| -hBOOL(c_in(E,B,C)).
% 104.22/104.33  ** KEPT (pick-wt=25): 175 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMin(B,A),c_Finite__Set_Olinorder__class_OMin(C,A),A)| -c_Finite__Set_Ofinite(B,A)|C=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_lesse_quals(C,B,tc_fun(A,tc_bool)).
% 104.22/104.33  ** KEPT (pick-wt=18): 176 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(A),B,A),C,A)| -hBOOL(c_in(C,B,A))| -c_Finite__Set_Ofinite(B,A).
% 104.22/104.33  ** KEPT (pick-wt=13): 177 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(c_Complete__Lattice_OInf__class_OInf(B,A),C,A)| -hBOOL(c_in(C,B,A)).
% 104.22/104.33  ** KEPT (pick-wt=15): 178 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)|c_lesse_quals(B,C,A).
% 104.22/104.33  ** KEPT (pick-wt=15): 179 [] -class_Orderings_Oorder(A)|c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))!=c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)| -c_lesse_quals(B,C,A).
% 104.22/104.33  ** KEPT (pick-wt=32): 180 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Set_Oinsert(A),B),C)),D)=hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D))| -hBOOL(c_in(B,D,A)).
% 104.22/104.33  ** KEPT (pick-wt=32): 181 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),D))=hAPP(hAPP(c_Set_Oinsert(A),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D))| -hBOOL(c_in(C,B,A)).
% 104.22/104.33  ** KEPT (pick-wt=32): 182 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),D),E),tc_fun(A,tc_bool))| -c_lesse_quals(C,E,tc_fun(A,tc_bool))| -c_lesse_quals(B,D,tc_fun(A,tc_bool)).
% 104.22/104.33  ** KEPT (pick-wt=11): 183 [] -class_Lattices_Olattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),B,A).
% 104.22/104.33  ** KEPT (pick-wt=11): 184 [] -class_Lattices_Olattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),C,A).
% 104.22/104.33  ** KEPT (pick-wt=19): 185 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 104.22/104.33    Following clause subsumed by 185 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 104.22/104.33    Following clause subsumed by 185 during input processing: 0 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D),A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(B,C,A).
% 104.22/104.33  ** KEPT (pick-wt=11): 186 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),C,A).
% 104.22/104.33  ** KEPT (pick-wt=11): 187 [] -class_Lattices_Olower__semilattice(A)|c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C),B,A).
% 104.22/104.33  ** KEPT (pick-wt=25): 188 [] c_lesse_quals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(B,tc_bool))| -c_lesse_quals(A,C,tc_fun(B,tc_bool)).
% 104.22/104.33    Following clause subsumed by 188 during input processing: 0 [] c_lesse_quals(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(B,tc_bool))| -c_lesse_quals(A,C,tc_fun(B,tc_bool)).
% 104.22/104.33  ** KEPT (pick-wt=5): 189 [] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 104.22/104.33  ** KEPT (pick-wt=30): 190 [] -class_Lattices_Odistrib__lattice(A)|hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D)).
% 104.22/104.33  ** KEPT (pick-wt=30): 192 [copy,191,flip.2] -class_Lattices_Odistrib__lattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),C),D)).
% 104.22/104.33  ** KEPT (pick-wt=22): 193 [] c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(A),B),C),D,tc_fun(A,tc_bool))| -c_lesse_quals(C,D,tc_fun(A,tc_bool))| -hBOOL(c_in(B,D,A)).
% 104.22/104.33  ** KEPT (pick-wt=20): 194 [] -class_Lattices_Olattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C).
% 104.22/104.33  ** KEPT (pick-wt=20): 195 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),C).
% 104.22/104.33  ** KEPT (pick-wt=19): 196 [] hAPP(hAPP(A,B),hAPP(hAPP(A,B),C))=hAPP(hAPP(A,B),C)| -c_Finite__Set_Ofun__left__comm__idem(A,D,E).
% 104.22/104.33  ** KEPT (pick-wt=21): 197 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),C)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(C),D),B),tc_fun(C,tc_bool)),C).
% 104.22/104.33  ** KEPT (pick-wt=21): 198 [] c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool)),B)| -c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(A,D,tc_fun(B,tc_bool)),B).
% 104.22/104.33  ** KEPT (pick-wt=7): 199 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D).
% 104.22/104.33  ** KEPT (pick-wt=17): 200 [] hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),B))| -hBOOL(c_in(A,D,B)).
% 104.22/104.33  ** KEPT (pick-wt=17): 201 [] hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),B))| -hBOOL(c_in(A,C,B)).
% 104.22/104.33  ** KEPT (pick-wt=10): 202 [] -class_Lattices_Olower__semilattice(A)|hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),B),B)=B.
% 104.22/104.33  ** KEPT (pick-wt=15): 203 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B),C,A).
% 104.22/104.33  ** KEPT (pick-wt=15): 204 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D),C,A).
% 104.22/104.33  ** KEPT (pick-wt=15): 205 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D),A)| -c_lesse_quals(B,D,A).
% 104.22/104.33  ** KEPT (pick-wt=15): 206 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),C),D),A)| -c_lesse_quals(B,C,A).
% 104.22/104.33    Following clause subsumed by 203 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),D),B),C,A).
% 104.22/104.33    Following clause subsumed by 204 during input processing: 0 [] -class_Lattices_Oupper__semilattice(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(A),B),D),C,A).
% 104.22/104.33  ** KEPT (pick-wt=19): 207 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),A),D),B,tc_fun(C,tc_bool)).
% 104.22/104.33  ** KEPT (pick-wt=19): 208 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(C,tc_bool)),D),A),B,tc_fun(C,tc_bool)).
% 104.22/104.33  ** KEPT (pick-wt=18): 209 [] -class_Orderings_Olinorder(A)|hBOOL(c_in(c_Finite__Set_Olinorder__class_OMax(B,A),B,A))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Finite__Set_Ofinite(B,A).
% 104.22/104.33  ** KEPT (pick-wt=23): 210 [] -class_Lattices_Olattice(A)|hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,A)),B),C),v_x)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(A),hAPP(B,v_x)),hAPP(C,v_x)).
% 104.22/104.33  ** KEPT (pick-wt=14): 211 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(B,D,A)| -c_lesse_quals(D,C,A).
% 104.22/104.33  ** KEPT (pick-wt=14): 212 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,C,A)| -c_lesse_quals(D,C,A)| -c_lesse_quals(B,D,A).
% 104.22/104.33  ** KEPT (pick-wt=16): 213 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 104.22/104.33    Following clause subsumed by 213 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 104.22/104.33    Following clause subsumed by 213 during input processing: 0 [] hBOOL(c_in(A,B,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -hBOOL(c_in(A,D,C)).
% 104.22/104.33    Following clause subsumed by 213 during input processing: 0 [] hBOOL(c_in(A,B,C))| -hBOOL(c_in(A,D,C))| -c_lesse_quals(D,B,tc_fun(C,tc_bool)).
% 104.22/104.33  ** KEPT (pick-wt=18): 214 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(D,B,tc_fun(C,tc_bool))| -c_lesse_quals(A,D,tc_fun(C,tc_bool)).
% 104.22/104.33  ** KEPT (pick-wt=16): 215 [] c_Fun_Oinj__on(A,B,C,D)| -c_lesse_quals(B,E,tc_fun(C,tc_bool))| -c_Fun_Oinj__on(A,E,C,D).
% 104.22/104.33  ** KEPT (pick-wt=14): 216 [] hBOOL(hAPP(A,B))| -hBOOL(hAPP(C,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 104.22/104.33  ** KEPT (pick-wt=6): 217 [] -class_Orderings_Oorder(A)|c_lesse_quals(B,B,A).
% 104.22/104.33  ** KEPT (pick-wt=6): 218 [] -class_Orderings_Opreorder(A)|c_lesse_quals(B,B,A).
% 104.22/104.33  ** KEPT (pick-wt=12): 219 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(C,B)| -c_lesse_quals(A,C,tc_fun(B,tc_bool)).
% 104.22/104.33    Following clause subsumed by 216 during input processing: 0 [] hBOOL(hAPP(A,B))| -c_lesse_quals(C,A,tc_fun(D,tc_bool))| -hBOOL(hAPP(C,B)).
% 104.22/104.33    Following clause subsumed by 219 during input processing: 0 [] c_Finite__Set_Ofinite(A,B)| -c_lesse_quals(A,C,tc_fun(B,tc_bool))| -c_Finite__Set_Ofinite(C,B).
% 104.22/104.33  ** KEPT (pick-wt=32): 220 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),D),E),tc_fun(A,tc_bool))| -c_lesse_quals(C,E,tc_fun(A,tc_bool))| -c_lesse_quals(B,D,tc_fun(A,tc_bool)).
% 104.22/104.33  ** KEPT (pick-wt=15): 221 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|c_lesse_quals(B,C,A).
% 104.22/104.33  ** KEPT (pick-wt=15): 222 [] -class_Orderings_Oorder(A)|c_SetInterval_Oord__class_OatLeastAtMost(B,C,A)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_lesse_quals(B,C,A).
% 104.22/104.33  ** KEPT (pick-wt=18): 223 [] -class_Orderings_Olinorder(A)|hBOOL(c_in(c_Finite__Set_Olinorder__class_OMin(B,A),B,A))|B=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))| -c_Finite__Set_Ofinite(B,A).
% 104.22/104.33  ** KEPT (pick-wt=6): 224 [] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OBODY(C).
% 104.22/104.33  ** KEPT (pick-wt=23): 225 [] hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),c_Collect(D,B)),B))| -hBOOL(hAPP(D,A))| -hBOOL(c_in(A,C,B)).
% 104.22/104.33    Following clause subsumed by 133 during input processing: 0 [] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSKIP.
% 104.22/104.33  ** KEPT (pick-wt=24): 226 [] c_Fun_Ocomp(A,B,C,D,E)!=c_Fun_Ocomp(F,G,H,D,E)|hAPP(A,hAPP(B,I))=hAPP(F,hAPP(G,I)).
% 104.22/104.33  ** KEPT (pick-wt=28): 227 [] hAPP(A,hAPP(B,C))!=hAPP(D,hAPP(E,F))|hAPP(c_Fun_Ocomp(A,B,G,H,I),C)=hAPP(c_Fun_Ocomp(D,E,J,H,K),F).
% 104.22/104.33  ** KEPT (pick-wt=16): 228 [] -class_Orderings_Olinorder(A)|c_lesse_quals(c_Finite__Set_Olinorder__class_OMin(B,A),C,A)| -hBOOL(c_in(C,B,A))| -c_Finite__Set_Ofinite(B,A).
% 104.22/104.33  ** KEPT (pick-wt=22): 229 [] hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),B))| -hBOOL(c_in(A,D,B))| -hBOOL(c_in(A,C,B)).
% 104.22/104.33    Following clause subsumed by 229 during input processing: 0 [] hBOOL(c_in(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),B))| -hBOOL(c_in(A,D,B))| -hBOOL(c_in(A,C,B)).
% 104.22/104.33  ** KEPT (pick-wt=19): 230 [] hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D))| -hBOOL(hAPP(C,D))| -hBOOL(hAPP(B,D)).
% 104.22/104.33  ** KEPT (pick-wt=18): 231 [] c_Fun_Ocomp(hAPP(A,B),hAPP(A,B),C,C,C)=hAPP(A,B)| -c_Finite__Set_Ofun__left__comm__idem(A,D,C).
% 104.22/104.33  ** KEPT (pick-wt=25): 232 [] c_HOL_Ominus__class_Ominus(A,c_HOL_Ominus__class_Ominus(B,C,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=C| -c_lesse_quals(A,B,tc_fun(D,tc_bool))| -c_lesse_quals(C,A,tc_fun(D,tc_bool)).
% 104.22/104.33  ** KEPT (pick-wt=19): 233 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(E,D,A)| -c_lesse_quals(C,B,A).
% 104.22/104.33  ** KEPT (pick-wt=19): 234 [] -class_OrderedGroup_Opordered__ab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,E,A)|c_lesse_quals(C,B,A)| -c_lesse_quals(E,D,A).
% 104.22/104.33  ** KEPT (pick-wt=16): 235 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,c_Finite__Set_Olinorder__class_OMax(C,A),A)| -hBOOL(c_in(B,C,A))| -c_Finite__Set_Ofinite(C,A).
% 104.22/104.33  ** KEPT (pick-wt=13): 236 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_lesse_quals(B,c_Complete__Lattice_OSup__class_OSup(C,A),A)| -hBOOL(c_in(B,C,A)).
% 104.22/104.33    Following clause subsumed by 189 during input processing: 0 [flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OSKIP.
% 104.22/104.33  ** KEPT (pick-wt=10): 237 [] -class_Orderings_Olinorder(A)|c_lesse_quals(B,C,A)|c_lesse_quals(C,B,A).
% 104.22/104.33  ** KEPT (pick-wt=11): 238 [] c_Finite__Set_Ofinite(A,B)| -c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(B),C),A),B).
% 104.22/104.33  ** KEPT (pick-wt=17): 239 [] c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))| -c_lesse_quals(A,D,tc_fun(B,tc_bool)).
% 104.22/104.33  ** KEPT (pick-wt=17): 240 [] c_lesse_quals(A,B,tc_fun(C,tc_bool))| -c_lesse_quals(hAPP(hAPP(c_Set_Oinsert(C),D),A),B,tc_fun(C,tc_bool)).
% 104.22/104.33  ** KEPT (pick-wt=15): 241 [] c_Fun_Oinj__on(A,B,C,D)| -c_Fun_Oinj__on(A,hAPP(hAPP(c_Set_Oinsert(C),E),B),C,D).
% 104.22/104.33  ** KEPT (pick-wt=26): 242 [] hAPP(hAPP(c_Set_Oinsert(A),B),C)!=hAPP(hAPP(c_Set_Oinsert(A),B),D)|hBOOL(c_in(B,D,A))|hBOOL(c_in(B,C,A))|C=D.
% 104.22/104.33  ** KEPT (pick-wt=13): 243 [] hAPP(hAPP(c_Set_Oinsert(A),B),C)=C| -hBOOL(c_in(B,C,A)).
% 104.22/104.33  ** KEPT (pick-wt=22): 244 [] -hBOOL(hAPP(A,c_Hoare__Mirabelle_Otriple_Otriple__case(B,c_Hoare__Mirabelle_Otriple_Otriple(C,D,E,t_b),t_b,t_a)))|hBOOL(hAPP(A,hAPP(hAPP(hAPP(B,C),D),E))).
% 104.22/104.33    Following clause subsumed by 244 during input processing: 0 [] -hBOOL(hAPP(A,c_Hoare__Mirabelle_Otriple_Otriple__case(B,c_Hoare__Mirabelle_Otriple_Otriple(C,D,E,t_b),t_b,t_a)))|hBOOL(hAPP(A,hAPP(hAPP(hAPP(B,C),D),E))).
% 104.22/104.33  ** KEPT (pick-wt=15): 245 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_lesse_quals(B,D,tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool))| -c_Hoare__Mirabelle_Ohoare__derivs(A,D,C).
% 104.22/104.33  ** KEPT (pick-wt=15): 246 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_lesse_quals(D,A,tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool))| -c_Hoare__Mirabelle_Ohoare__derivs(D,B,C).
% 104.22/104.33  ** KEPT (pick-wt=8): 247 [] c_Hoare__Mirabelle_Ohoare__valids(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,B,C).
% 104.22/104.33  ** KEPT (pick-wt=11): 248 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_lesse_quals(B,A,tc_fun(tc_Hoare__Mirabelle_Otriple(C),tc_bool)).
% 104.22/104.33  ** KEPT (pick-wt=63): 249 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(hAPP(c_COMBC(c_fe_qual(tc_Com_Ostate),tc_Com_Ostate,tc_Com_Ostate,tc_bool),v_sko__Hoare__Mirabelle__Xescape__2(A,B,D,C)),tc_fun(tc_Com_Ostate,tc_bool),t_a),C,c_COMBK(hAPP(D,v_sko__Hoare__Mirabelle__Xescape__1(A,B,D,C)),tc_fun(tc_Com_Ostate,tc_bool),t_a),t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 104.22/104.33  ** KEPT (pick-wt=49): 250 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(C,c_Com_Ocom_OWhile(D,E),c_Hoare__Mirabelle_Opeek__and(C,c_Fun_Ocomp(c_Not,D,tc_bool,tc_bool,tc_Com_Ostate),B),B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(C,D,B),E,C,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B).
% 104.22/104.33  ** KEPT (pick-wt=51): 251 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(C,c_Com_Ocom_OBODY(D),E,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B)| -c_Hoare__Mirabelle_Ohoare__derivs(hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(C,c_Com_Ocom_OBODY(D),E,B)),A),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(C,c_Option_Othe(c_Com_Obody(D),tc_Com_Ocom),E,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B).
% 104.22/104.33  ** KEPT (pick-wt=40): 252 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(C,c_Com_Ocom_OBODY(D),E,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(C,c_Option_Othe(c_Com_Obody(D),tc_Com_Ocom),E,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B).
% 104.22/104.33  ** KEPT (pick-wt=68): 253 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(C,c_Com_Ocom_OCond(D,E,F),G,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(C,c_Fun_Ocomp(c_Not,D,tc_bool,tc_bool,tc_Com_Ostate),B),F,G,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(c_Hoare__Mirabelle_Opeek__and(C,D,B),E,G,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B).
% 104.22/104.33  ** KEPT (pick-wt=11): 254 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A)=c_Orderings_Obot__class_Obot(A).
% 104.22/104.33  ** KEPT (pick-wt=31): 255 [] A=hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))|A=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))| -c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),tc_fun(B,tc_bool)).
% 104.22/104.33  ** KEPT (pick-wt=23): 256 [] hAPP(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))))=C| -c_Complete__Lattice_Ocomplete__lattice(A,D,E,F,G,H,I,J,B).
% 104.22/104.33  ** KEPT (pick-wt=23): 257 [] hAPP(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))))=C| -c_Complete__Lattice_Ocomplete__lattice(D,A,E,F,G,H,I,J,B).
% 104.22/104.33  ** KEPT (pick-wt=15): 258 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OSup__class_OSup(hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),A)=B.
% 104.22/104.33  ** KEPT (pick-wt=15): 259 [] -class_Orderings_Olinorder(A)|c_Finite__Set_Olinorder__class_OMin(hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),A)=B.
% 104.22/104.33  ** KEPT (pick-wt=32): 260 [] hAPP(A,hAPP(hAPP(c_Set_Oinsert(B),C),hAPP(hAPP(c_Set_Oinsert(B),D),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))))=hAPP(hAPP(E,C),D)| -c_Complete__Lattice_Ocomplete__lattice(A,F,G,H,E,I,J,K,B).
% 104.22/104.33  ** KEPT (pick-wt=32): 261 [] hAPP(A,hAPP(hAPP(c_Set_Oinsert(B),C),hAPP(hAPP(c_Set_Oinsert(B),D),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)))))=hAPP(hAPP(E,C),D)| -c_Complete__Lattice_Ocomplete__lattice(F,A,G,H,I,E,J,K,B).
% 104.22/104.33  ** KEPT (pick-wt=18): 262 [] A=B| -hBOOL(hAPP(c_Finite__Set_Ofold1Set(C,hAPP(hAPP(c_Set_Oinsert(D),A),c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool))),D),B)).
% 104.22/104.33  ** KEPT (pick-wt=25): 263 [] A=c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),B)| -hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(B),C),c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool))),A)).
% 104.22/104.33  ** KEPT (pick-wt=16): 264 [] A=B| -hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(C),B),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))),C)).
% 104.22/104.33  ** KEPT (pick-wt=15): 265 [] -class_Orderings_Olinorder(A)|c_Finite__Set_Olinorder__class_OMax(hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),A)=B.
% 104.22/104.33  ** KEPT (pick-wt=16): 267 [copy,266,flip.2] -class_Orderings_Oorder(A)|hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_SetInterval_Oord__class_OatLeastAtMost(B,B,A).
% 104.22/104.33  ** KEPT (pick-wt=16): 268 [] hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))|hBOOL(c_in(B,C,A)).
% 104.22/104.33  ** KEPT (pick-wt=15): 269 [] -class_Complete__Lattice_Ocomplete__lattice(A)|c_Complete__Lattice_OInf__class_OInf(hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),A)=B.
% 104.22/104.33  ** KEPT (pick-wt=58): 270 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(E,F),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__3(A,B,D,C,G,E)))| -hBOOL(hAPP(hAPP(G,F),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__2(A,B,D,C)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(G,C,E,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 104.22/104.33  ** KEPT (pick-wt=56): 271 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(E,F),v_sko__Hoare__Mirabelle__Xconse_q12__3(B,G,D,E)))| -hBOOL(hAPP(hAPP(G,F),v_sko__Hoare__Mirabelle__Xconse_q12__2(B,G,D,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(G,C,E,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 104.22/104.33  ** KEPT (pick-wt=58): 272 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(E,F),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(A,B,D,C,G,E)))| -hBOOL(hAPP(hAPP(G,F),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(A,B,D,C)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(G,C,E,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 104.22/104.33  ** KEPT (pick-wt=52): 273 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(D,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(A,B,D,C,E,F)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(E,C,F,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 104.22/104.33  ** KEPT (pick-wt=46): 274 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(E,v_sko__Hoare__Mirabelle__Xconse_q2__1(D,E)),v_sko__Hoare__Mirabelle__Xconse_q2__2(D,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,E,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 104.22/104.33  ** KEPT (pick-wt=50): 275 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xconse_q12__1(B,E,D,F)),v_sko__Hoare__Mirabelle__Xconse_q12__2(B,E,D,F)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(E,C,F,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 104.22/104.33  ** KEPT (pick-wt=46): 276 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xconse_q1__1(B,E)),v_sko__Hoare__Mirabelle__Xconse_q1__2(B,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(E,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 104.22/104.33  ** KEPT (pick-wt=52): 277 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(D,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__3(A,B,D,C,E,F)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(E,C,F,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 104.22/104.33  ** KEPT (pick-wt=46): 278 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(E,v_sko__Hoare__Mirabelle__Xconse_q1__1(B,E)),v_sko__Hoare__Mirabelle__Xconse_q1__2(B,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(E,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 104.22/104.33  ** KEPT (pick-wt=50): 279 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(D,v_sko__Hoare__Mirabelle__Xconse_q12__1(B,E,D,F)),v_sko__Hoare__Mirabelle__Xconse_q12__3(B,E,D,F)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(E,C,F,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 104.22/104.33  ** KEPT (pick-wt=46): 280 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a)| -hBOOL(hAPP(hAPP(D,v_sko__Hoare__Mirabelle__Xconse_q2__1(D,E)),v_sko__Hoare__Mirabelle__Xconse_q2__2(D,E)))| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,E,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 104.22/104.33  ** KEPT (pick-wt=56): 281 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(C,c_Com_Ocom_OSemi(D,E),F,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(G,E,F,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(C,D,G,B)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B).
% 104.22/104.34  ** KEPT (pick-wt=28): 282 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),C),D),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,D,B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),C),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B).
% 104.22/104.34  ** KEPT (pick-wt=14): 283 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(C)),D),B),C).
% 104.22/104.34  ** KEPT (pick-wt=12): 284 [] c_Hoare__Mirabelle_Ohoare__derivs(A,B,C)| -c_Hoare__Mirabelle_Ohoare__derivs(A,D,C)| -c_Hoare__Mirabelle_Ohoare__derivs(D,B,C).
% 104.22/104.34  ** KEPT (pick-wt=11): 286 [copy,285,flip.1] hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 104.22/104.34  ** KEPT (pick-wt=14): 287 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|C=G.
% 104.22/104.34  ** KEPT (pick-wt=14): 288 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|B=F.
% 104.22/104.34  ** KEPT (pick-wt=14): 289 [] c_Hoare__Mirabelle_Otriple_Otriple(A,B,C,D)!=c_Hoare__Mirabelle_Otriple_Otriple(E,F,G,D)|A=E.
% 104.22/104.34  ** KEPT (pick-wt=35): 290 [] hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(A),D),hAPP(hAPP(c_Set_Oinsert(A),E),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))|C=D|C=E.
% 104.22/104.34  ** KEPT (pick-wt=35): 291 [] hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(A),D),hAPP(hAPP(c_Set_Oinsert(A),E),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))|B=E|C=E.
% 104.22/104.34  ** KEPT (pick-wt=35): 292 [] hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(A),D),hAPP(hAPP(c_Set_Oinsert(A),E),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))|C=D|B=D.
% 104.22/104.34  ** KEPT (pick-wt=35): 293 [] hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))!=hAPP(hAPP(c_Set_Oinsert(A),D),hAPP(hAPP(c_Set_Oinsert(A),E),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))))|B=E|B=D.
% 104.22/104.34  ** KEPT (pick-wt=7): 294 [] -hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B)).
% 104.22/104.34  ** KEPT (pick-wt=16): 295 [] hBOOL(hAPP(A,B))|C=B| -hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(D),C),A),B)).
% 104.22/104.34    Following clause subsumed by 286 during input processing: 0 [] hAPP(hAPP(c_Set_Oinsert(A),B),C)!=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 104.22/104.34  ** KEPT (pick-wt=11): 296 [] -class_Orderings_Obot(A)|hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,A)),v_x)=c_Orderings_Obot__class_Obot(A).
% 104.22/104.34  ** KEPT (pick-wt=22): 297 [] hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))!=hAPP(hAPP(c_Set_Oinsert(A),C),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))|B=C.
% 104.22/104.34  ** KEPT (pick-wt=24): 298 [] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),C),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(B),tc_bool))),B)| -c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),C),D),B).
% 104.22/104.34  ** KEPT (pick-wt=13): 299 [] hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(A),B),C),D))| -hBOOL(hAPP(C,D)).
% 104.22/104.34  ** KEPT (pick-wt=18): 300 [] -c_Hoare__Mirabelle_Ohoare__derivs(v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(A,v_c,B,t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),t_a).
% 104.22/104.34  ** KEPT (pick-wt=6): 301 [] class_Complete__Lattice_Ocomplete__lattice(tc_fun(A,B))| -class_Complete__Lattice_Ocomplete__lattice(B).
% 104.22/104.34  ** KEPT (pick-wt=6): 302 [] class_Lattices_Oupper__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 104.22/104.34  ** KEPT (pick-wt=6): 303 [] class_Lattices_Olower__semilattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 104.22/104.34  ** KEPT (pick-wt=6): 304 [] class_Lattices_Odistrib__lattice(tc_fun(A,B))| -class_Lattices_Odistrib__lattice(B).
% 104.22/104.34  ** KEPT (pick-wt=6): 305 [] class_Lattices_Obounded__lattice(tc_fun(A,B))| -class_Lattices_Obounded__lattice(B).
% 104.22/104.34  ** KEPT (pick-wt=8): 306 [] class_Finite__Set_Ofinite_Ofinite(tc_fun(A,B))| -class_Finite__Set_Ofinite_Ofinite(B)| -class_Finite__Set_Ofinite_Ofinite(A).
% 104.22/104.34  ** KEPT (pick-wt=6): 307 [] class_Orderings_Opreorder(tc_fun(A,B))| -class_Orderings_Opreorder(B).
% 104.22/104.34  ** KEPT (pick-wt=6): 308 [] class_Lattices_Olattice(tc_fun(A,B))| -class_Lattices_Olattice(B).
% 104.22/104.34  ** KEPT (pick-wt=6): 309 [] class_Orderings_Oorder(tc_fun(A,B))| -class_Orderings_Oorder(B).
% 104.22/104.34  ** KEPT (pick-wt=6): 310 [] class_Orderings_Obot(tc_fun(A,B))| -class_Orderings_Obot(B).
% 104.22/104.34  ** KEPT (pick-wt=6): 311 [] class_HOL_Ominus(tc_fun(A,B))| -class_HOL_Ominus(B).
% 104.22/104.34  ** KEPT (pick-wt=6): 312 [] class_HOL_Oord(tc_fun(A,B))| -class_HOL_Oord(B).
% 104.22/104.34  ** KEPT (pick-wt=5): 313 [] class_Finite__Set_Ofinite_Ofinite(tc_Option_Ooption(A))| -class_Finite__Set_Ofinite_Ofinite(A).
% 104.22/104.34  ** KEPT (pick-wt=10): 314 [] A=B| -hBOOL(hAPP(hAPP(c_fe_qual(C),A),B)).
% 104.22/104.34    Following clause subsumed by 49 during input processing: 0 [copy,5,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OSemi(B,C).
% 104.22/104.34    Following clause subsumed by 5 during input processing: 0 [copy,49,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OBODY(C).
% 104.22/104.34    Following clause subsumed by 224 during input processing: 0 [copy,57,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OBODY(C).
% 104.22/104.34    Following clause subsumed by 199 during input processing: 0 [copy,64,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OSemi(C,D).
% 104.22/104.34    Following clause subsumed by 74 during input processing: 0 [copy,66,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OSemi(D,E).
% 104.22/104.34    Following clause subsumed by 130 during input processing: 0 [copy,70,flip.1] c_Com_Ocom_OWhile(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 104.22/104.34    Following clause subsumed by 66 during input processing: 0 [copy,74,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OCond(C,D,E).
% 104.22/104.34    Following clause subsumed by 91 during input processing: 0 [copy,90,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OCond(B,C,D).
% 104.22/104.34    Following clause subsumed by 90 during input processing: 0 [copy,91,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OBODY(D).
% 104.22/104.34    Following clause subsumed by 70 during input processing: 0 [copy,130,flip.1] c_Com_Ocom_OCond(A,B,C)!=c_Com_Ocom_OWhile(D,E).
% 104.22/104.34    Following clause subsumed by 64 during input processing: 0 [copy,199,flip.1] c_Com_Ocom_OSemi(A,B)!=c_Com_Ocom_OWhile(C,D).
% 104.22/104.34    Following clause subsumed by 57 during input processing: 0 [copy,224,flip.1] c_Com_Ocom_OBODY(A)!=c_Com_Ocom_OWhile(B,C).
% 104.22/104.34  239 back subsumes 163.
% 104.22/104.34  239 back subsumes 109.
% 104.22/104.34  286 back subsumes 268.
% 104.22/104.34  
% 104.22/104.34  ------------> process sos:
% 104.22/104.34  ** KEPT (pick-wt=3): 343 [] A=A.
% 104.22/104.34  ** KEPT (pick-wt=23): 344 [] c_Fun_Ofun__upd(c_Map_Orestrict__map(A,B,C,D),E,c_Option_Ooption_ONone(D),C,tc_Option_Ooption(D))=c_Map_Orestrict__map(A,B,C,D)|hBOOL(c_in(E,B,C)).
% 104.22/104.34  ** KEPT (pick-wt=25): 346 [copy,345,flip.1] c_Fun_Ofun__upd(c_Fun_Ocomp(A,B,C,D,E),F,hAPP(A,G),E,D)=c_Fun_Ocomp(A,c_Fun_Ofun__upd(B,F,G,E,C),C,D,E).
% 104.22/104.34  ---> New Demodulator: 347 [new_demod,346] c_Fun_Ofun__upd(c_Fun_Ocomp(A,B,C,D,E),F,hAPP(A,G),E,D)=c_Fun_Ocomp(A,c_Fun_Ofun__upd(B,F,G,E,C),C,D,E).
% 104.22/104.34  ** KEPT (pick-wt=26): 348 [] c_Fun_Ofun__upd(c_Fun_Ofun__upd(A,B,C,D,E),F,G,D,E)=c_Fun_Ofun__upd(c_Fun_Ofun__upd(A,F,G,D,E),B,C,D,E)|B=F.
% 104.22/104.34  ** KEPT (pick-wt=18): 349 [] c_Fun_Ofun__upd(c_Fun_Ofun__upd(A,B,C,D,E),B,F,D,E)=c_Fun_Ofun__upd(A,B,F,D,E).
% 104.22/104.34  ---> New Demodulator: 350 [new_demod,349] c_Fun_Ofun__upd(c_Fun_Ofun__upd(A,B,C,D,E),B,F,D,E)=c_Fun_Ofun__upd(A,B,F,D,E).
% 104.22/104.34  ** KEPT (pick-wt=10): 351 [] c_Fun_Ofun__upd(A,B,hAPP(A,B),C,D)=A.
% 104.22/104.34  ---> New Demodulator: 352 [new_demod,351] c_Fun_Ofun__upd(A,B,hAPP(A,B),C,D)=A.
% 104.22/104.34  ** KEPT (pick-wt=10): 353 [] hAPP(c_Fun_Ofun__upd(A,B,C,D,E),B)=C.
% 104.22/104.34  ---> New Demodulator: 354 [new_demod,353] hAPP(c_Fun_Ofun__upd(A,B,C,D,E),B)=C.
% 104.22/104.34    Following clause subsumed by 343 during input processing: 0 [demod,352] A=A.
% 104.22/104.34    Following clause subsumed by 343 during input processing: 0 [demod,354] C=C.
% 104.22/104.34    Following clause subsumed by 343 during input processing: 0 [demod,352] A=A.
% 104.22/104.34  ** KEPT (pick-wt=15): 355 [] hAPP(c_Fun_Ofun__upd(A,B,C,D,E),F)=hAPP(A,F)|F=B.
% 104.22/104.34    Following clause subsumed by 355 during input processing: 0 [] hAPP(c_Fun_Ofun__upd(A,B,C,D,E),F)=hAPP(A,F)|F=B.
% 104.22/104.34  ** KEPT (pick-wt=22): 356 [] c_Map_Orestrict__map(c_Fun_Ofun__upd(A,B,C,D,tc_Option_Ooption(E)),F,D,E)=c_Map_Orestrict__map(A,F,D,E)|hBOOL(c_in(B,F,D)).
% 104.22/104.34  ** KEPT (pick-wt=24): 357 [] c_Map_Orestrict__map(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),B,E)=c_Fun_Ofun__upd(c_Map_Orestrict__map(A,D,B,E),C,hAPP(A,C),B,tc_Option_Ooption(E)).
% 104.22/104.34  ** KEPT (pick-wt=36): 359 [copy,358,flip.1] c_Fun_Ofun__upd(c_Map_Orestrict__map(A,c_HOL_Ominus__class_Ominus(B,hAPP(hAPP(c_Set_Oinsert(C),D),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))),tc_fun(C,tc_bool)),C,E),D,F,C,tc_Option_Ooption(E))=c_Fun_Ofun__upd(c_Map_Orestrict__map(A,B,C,E),D,F,C,tc_Option_Ooption(E)).
% 104.22/104.34  ---> New Demodulator: 360 [new_demod,359] c_Fun_Ofun__upd(c_Map_Orestrict__map(A,c_HOL_Ominus__class_Ominus(B,hAPP(hAPP(c_Set_Oinsert(C),D),c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool))),tc_fun(C,tc_bool)),C,E),D,F,C,tc_Option_Ooption(E))=c_Fun_Ofun__upd(c_Map_Orestrict__map(A,B,C,E),D,F,C,tc_Option_Ooption(E)).
% 104.22/104.34  ** KEPT (pick-wt=6): 361 [] hAPP(c_COMBI(A),B)=B.
% 104.22/104.34  ---> New Demodulator: 362 [new_demod,361] hAPP(c_COMBI(A),B)=B.
% 104.22/104.34  ** KEPT (pick-wt=8): 363 [] hAPP(c_COMBK(A,B,C),D)=A.
% 104.22/104.34  ---> New Demodulator: 364 [new_demod,363] hAPP(c_COMBK(A,B,C),D)=A.
% 104.22/104.34  ** KEPT (pick-wt=18): 365 [] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)).
% 104.22/104.34  ---> New Demodulator: 366 [new_demod,365] c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),B,tc_fun(C,tc_bool))=c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)).
% 104.22/104.34  ** KEPT (pick-wt=31): 367 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)).
% 104.22/104.34  ** KEPT (pick-wt=31): 368 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 104.22/104.34  ---> New Demodulator: 369 [new_demod,368] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 104.22/104.34  ** KEPT (pick-wt=13): 370 [] c_lesse_quals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),A),tc_fun(B,tc_bool)).
% 104.22/104.34  ** KEPT (pick-wt=13): 371 [] c_lesse_quals(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),A),C),tc_fun(B,tc_bool)).
% 104.22/104.34  ** KEPT (pick-wt=17): 372 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),B).
% 104.22/104.34  ** KEPT (pick-wt=11): 373 [] c_lesse_quals(c_HOL_Ominus__class_Ominus(A,B,tc_fun(C,tc_bool)),A,tc_fun(C,tc_bool)).
% 104.22/104.34  ** KEPT (pick-wt=73): 375 [copy,374,demod,369,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),D),B))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),D),B))).
% 104.22/104.34  ---> New Demodulator: 376 [new_demod,375] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),D),B))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),D),B))).
% 104.22/104.34  ** KEPT (pick-wt=20): 377 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,c_COMBK(B,tc_fun(C,tc_bool),D),D,tc_fun(C,tc_bool))=B|A=c_Orderings_Obot__class_Obot(tc_fun(D,tc_bool)).
% 104.22/104.34  ** KEPT (pick-wt=15): 378 [] hAPP(hAPP(c_COMBC(A,B,C,D),E),F)=hAPP(hAPP(A,F),E).
% 104.22/104.34  ** KEPT (pick-wt=17): 379 [] c_HOL_Ominus__class_Ominus(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A.
% 104.22/104.34  ---> New Demodulator: 380 [new_demod,379] c_HOL_Ominus__class_Ominus(A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(D,tc_bool)),tc_fun(D,tc_bool))=A.
% 104.22/104.34  ** KEPT (pick-wt=6): 381 [] c_Fun_Oinj__on(c_Fun_Oid(A),B,A,A).
% 104.22/104.34  ** KEPT (pick-wt=10): 382 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),B)=B.
% 104.22/104.34  ---> New Demodulator: 383 [new_demod,382] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),B)=B.
% 104.22/104.34  ** KEPT (pick-wt=9): 384 [] c_Fun_Ocomp(c_Fun_Oid(A),B,A,A,C)=B.
% 104.22/104.34  ---> New Demodulator: 385 [new_demod,384] c_Fun_Ocomp(c_Fun_Oid(A),B,A,A,C)=B.
% 104.22/104.34  ** KEPT (pick-wt=9): 386 [] c_Fun_Ocomp(A,c_Fun_Oid(B),B,C,B)=A.
% 104.22/104.34  ---> New Demodulator: 387 [new_demod,386] c_Fun_Ocomp(A,c_Fun_Oid(B),B,C,B)=A.
% 104.22/104.34  ** KEPT (pick-wt=38): 389 [copy,388,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 104.22/104.34  ---> New Demodulator: 390 [new_demod,389] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 104.22/104.34  ** KEPT (pick-wt=38): 391 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 104.22/104.34  ** KEPT (pick-wt=11): 393 [copy,392,flip.1] c_The(c_Finite__Set_Ofold1Set(A,B,C),C)=c_Finite__Set_Ofold1(A,B,C).
% 104.22/104.34  ---> New Demodulator: 394 [new_demod,393] c_The(c_Finite__Set_Ofold1Set(A,B,C),C)=c_Finite__Set_Ofold1(A,B,C).
% 104.22/104.34  ** KEPT (pick-wt=5): 395 [] c_Collect(A,B)=A.
% 104.22/104.34  ---> New Demodulator: 396 [new_demod,395] c_Collect(A,B)=A.
% 104.22/104.34  ** KEPT (pick-wt=6): 397 [] c_Fun_Oinj__on(c_COMBI(A),B,A,A).
% 104.22/104.34  ** KEPT (pick-wt=13): 398 [] hAPP(c_Fun_Ocomp(c_COMBK(A,B,C),D,C,B,t_a),v_x)=A.
% 104.22/104.34  ---> New Demodulator: 399 [new_demod,398] hAPP(c_Fun_Ocomp(c_COMBK(A,B,C),D,C,B,t_a),v_x)=A.
% 104.22/104.34  ** KEPT (pick-wt=12): 400 [] c_The(hAPP(c_COMBC(c_fe_qual(A),A,A,tc_bool),B),A)=B.
% 104.22/104.34  ---> New Demodulator: 401 [new_demod,400] c_The(hAPP(c_COMBC(c_fe_qual(A),A,A,tc_bool),B),A)=B.
% 104.22/104.34  ** KEPT (pick-wt=15): 402 [] hAPP(c_Map_Orestrict__map(A,B,C,D),E)=c_Option_Ooption_ONone(D)|hBOOL(c_in(E,B,C)).
% 104.22/104.34  ** KEPT (pick-wt=14): 403 [] hAPP(c_Fun_Ocomp(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 104.22/104.34  ---> New Demodulator: 404 [new_demod,403] hAPP(c_Fun_Ocomp(A,B,C,D,E),F)=hAPP(A,hAPP(B,F)).
% 104.22/104.34    Following clause subsumed by 343 during input processing: 0 [demod,404] hAPP(A,hAPP(B,C))=hAPP(A,hAPP(B,C)).
% 104.22/104.34  ** KEPT (pick-wt=31): 405 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 104.22/104.34  ---> New Demodulator: 406 [new_demod,405] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 104.22/104.34  ** KEPT (pick-wt=31): 407 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)).
% 104.22/104.34  ** KEPT (pick-wt=22): 408 [] c_Map_Orestrict__map(c_Map_Orestrict__map(A,B,C,D),E,C,D)=c_Map_Orestrict__map(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(C,tc_bool)),B),E),C,D).
% 104.22/104.34  ** KEPT (pick-wt=19): 409 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(A,tc_bool))),D)=D.
% 104.22/104.34  ---> New Demodulator: 410 [new_demod,409] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),C,B,tc_fun(A,tc_bool))),D)=D.
% 104.22/104.34  ** KEPT (pick-wt=19): 411 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),D,C,tc_fun(A,tc_bool)))=B.
% 104.22/104.34  ---> New Demodulator: 412 [new_demod,411] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)),D,C,tc_fun(A,tc_bool)))=B.
% 104.22/104.34  ** KEPT (pick-wt=34): 413 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D),tc_fun(A,tc_bool)).
% 104.22/104.34  ---> New Demodulator: 414 [new_demod,413] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D),tc_fun(A,tc_bool)).
% 104.22/104.34  ** KEPT (pick-wt=34): 415 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),D)=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D),tc_fun(A,tc_bool)).
% 104.22/104.34  ---> New Demodulator: 416 [new_demod,415] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),D)=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D),tc_fun(A,tc_bool)).
% 104.22/104.34  ** KEPT (pick-wt=34): 417 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),D),C),tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool)).
% 104.22/104.34  ---> New Demodulator: 418 [new_demod,417] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),D),C),tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool)).
% 104.22/104.34  ** KEPT (pick-wt=22): 419 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C))=B.
% 104.22/104.34  ---> New Demodulator: 420 [new_demod,419] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C))=B.
% 104.22/104.34  ** KEPT (pick-wt=27): 421 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),D))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)|hBOOL(c_in(C,B,A)).
% 104.22/104.34  ** KEPT (pick-wt=27): 422 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Set_Oinsert(A),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)|hBOOL(c_in(B,D,A)).
% 104.22/104.34  ** KEPT (pick-wt=22): 423 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 104.22/104.34  ---> New Demodulator: 424 [new_demod,423] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 104.22/104.34  ** KEPT (pick-wt=22): 425 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_HOL_Ominus__class_Ominus(C,B,tc_fun(A,tc_bool)))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 104.22/104.34  ---> New Demodulator: 426 [new_demod,425] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_HOL_Ominus__class_Ominus(C,B,tc_fun(A,tc_bool)))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 104.22/104.34  ** KEPT (pick-wt=20): 427 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_COMBK(B,tc_fun(C,tc_bool),A),A,tc_fun(C,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(C,tc_bool)).
% 104.22/104.34  ** KEPT (pick-wt=32): 429 [copy,428,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),c_HOL_Ominus__class_Ominus(D,C,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D),C,tc_fun(A,tc_bool)).
% 104.22/104.34  ---> New Demodulator: 430 [new_demod,429] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),c_HOL_Ominus__class_Ominus(D,C,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D),C,tc_fun(A,tc_bool)).
% 104.22/104.34  ** KEPT (pick-wt=22): 432 [copy,431,demod,396,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(c_COMBC(c_fe_qual(A),A,A,tc_bool),B)),C)=hAPP(hAPP(c_Set_Oinsert(A),B),C).
% 104.22/104.34  ---> New Demodulator: 433 [new_demod,432] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(c_COMBC(c_fe_qual(A),A,A,tc_bool),B)),C)=hAPP(hAPP(c_Set_Oinsert(A),B),C).
% 104.22/104.34  ** KEPT (pick-wt=17): 434 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),B).
% 104.22/104.34  ** KEPT (pick-wt=24): 435 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 104.22/104.34  ---> New Demodulator: 436 [new_demod,435] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C).
% 104.22/104.34  ** KEPT (pick-wt=25): 438 [copy,437,demod,414] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),B),tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 104.22/104.34  ** KEPT (pick-wt=28): 440 [copy,439,flip.1] hAPP(hAPP(c_Set_Oinsert(A),B),c_HOL_Ominus__class_Ominus(C,D,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(A),B),C),D,tc_fun(A,tc_bool))|hBOOL(c_in(B,D,A)).
% 104.22/104.34  ** KEPT (pick-wt=6): 441 [] hAPP(c_Fun_Oid(A),B)=B.
% 104.22/104.34  ---> New Demodulator: 442 [new_demod,441] hAPP(c_Fun_Oid(A),B)=B.
% 104.22/104.34    Following clause subsumed by 343 during input processing: 0 [demod,383] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 104.22/104.34  ** KEPT (pick-wt=12): 443 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),tc_fun(A,tc_bool)).
% 104.22/104.34  ** KEPT (pick-wt=14): 444 [] c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 104.22/104.34  ---> New Demodulator: 445 [new_demod,444] c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 104.22/104.34  ** KEPT (pick-wt=13): 446 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=B.
% 104.22/104.34  ---> New Demodulator: 447 [new_demod,446] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=B.
% 104.22/104.34  ** KEPT (pick-wt=13): 448 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),B)=B.
% 104.22/104.34  ---> New Demodulator: 449 [new_demod,448] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),B)=B.
% 104.22/104.34  ** KEPT (pick-wt=11): 450 [] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)).
% 104.22/104.34  ** KEPT (pick-wt=11): 451 [] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 104.22/104.34  ---> New Demodulator: 452 [new_demod,451] c_HOL_Ominus__class_Ominus(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),tc_fun(B,tc_bool))=A.
% 104.22/104.34  ** KEPT (pick-wt=6): 453 [] c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),A).
% 104.22/104.34  ** KEPT (pick-wt=16): 454 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 104.22/104.34  ---> New Demodulator: 455 [new_demod,454] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)))=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 104.22/104.34  ** KEPT (pick-wt=16): 456 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),B)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 104.22/104.34  ---> New Demodulator: 457 [new_demod,456] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),B)=c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)).
% 104.22/104.34  ** KEPT (pick-wt=9): 458 [] c_lesse_quals(c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool)),B,tc_fun(A,tc_bool)).
% 104.22/104.34  ** KEPT (pick-wt=8): 459 [] c_Fun_Oinj__on(A,c_Orderings_Obot__class_Obot(tc_fun(B,tc_bool)),B,C).
% 104.22/104.34  ** KEPT (pick-wt=18): 461 [copy,460,demod,396] hAPP(c_COMBC(c_fe_qual(A),A,A,tc_bool),B)=hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))).
% 104.22/104.34  ** KEPT (pick-wt=26): 462 [] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Set_Oinsert(A),B),C),hAPP(hAPP(c_Set_Oinsert(A),B),c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))),tc_fun(A,tc_bool))=C|hBOOL(c_in(B,C,A)).
% 104.22/104.34  ** KEPT (pick-wt=9): 464 [copy,463,demod,396] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_COMBK(c_False,tc_bool,A).
% 104.22/104.34  ---> New Demodulator: 465 [new_demod,464] c_Orderings_Obot__class_Obot(tc_fun(A,tc_bool))=c_COMBK(c_False,tc_bool,A).
% 104.22/104.34  ** KEPT (pick-wt=29): 466 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Set_Oinsert(A),B),C),D,A,tc_fun(E,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),hAPP(D,B)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,A,tc_fun(E,tc_bool))).
% 104.22/104.34  ** KEPT (pick-wt=14): 467 [] hAPP(c_Fun_Ofcomp(A,B,C,D,E),F)=hAPP(B,hAPP(A,F)).
% 104.22/104.34  ---> New Demodulator: 468 [new_demod,467] hAPP(c_Fun_Ofcomp(A,B,C,D,E),F)=hAPP(B,hAPP(A,F)).
% 104.22/104.34  ** KEPT (pick-wt=13): 469 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),B,tc_fun(A,tc_bool)).
% 104.22/104.34  ** KEPT (pick-wt=13): 470 [] c_lesse_quals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),C,tc_fun(A,tc_bool)).
% 104.22/104.34  ** KEPT (pick-wt=23): 472 [copy,471,flip.1] c_Fun_Ocomp(c_Fun_Ocomp(A,B,C,D,E),F,E,D,G)=c_Fun_Ocomp(A,c_Fun_Ocomp(B,F,E,C,G),C,D,G).
% 104.22/104.34  ---> New Demodulator: 473 [new_demod,472] c_Fun_Ocomp(c_Fun_Ocomp(A,B,C,D,E),F,E,D,G)=c_Fun_Ocomp(A,c_Fun_Ocomp(B,F,E,C,G),C,D,G).
% 104.22/104.34  ** KEPT (pick-wt=38): 475 [copy,474,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 104.22/104.34  ---> New Demodulator: 476 [new_demod,475] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 104.22/104.34  ** KEPT (pick-wt=38): 477 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),D)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 104.22/104.34  ** KEPT (pick-wt=24): 478 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C).
% 104.22/104.34  ---> New Demodulator: 479 [new_demod,478] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C).
% 104.22/104.34  ** KEPT (pick-wt=9): 480 [] c_Fun_Ofcomp(A,c_Fun_Oid(B),C,B,B)=A.
% 104.22/104.34  ---> New Demodulator: 481 [new_demod,480] c_Fun_Ofcomp(A,c_Fun_Oid(B),C,B,B)=A.
% 104.22/104.34  ** KEPT (pick-wt=9): 482 [] c_Fun_Ofcomp(c_Fun_Oid(A),B,A,A,C)=B.
% 104.22/104.34  ---> New Demodulator: 483 [new_demod,482] c_Fun_Ofcomp(c_Fun_Oid(A),B,A,A,C)=B.
% 104.22/104.34  ** KEPT (pick-wt=20): 485 [copy,484,demod,465,465] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,c_COMBK(c_COMBK(c_False,tc_bool,B),tc_fun(B,tc_bool),C),C,tc_fun(B,tc_bool))=c_COMBK(c_False,tc_bool,B).
% 104.22/104.34  ---> New Demodulator: 486 [new_demod,485] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(A,c_COMBK(c_COMBK(c_False,tc_bool,B),tc_fun(B,tc_bool),C),C,tc_fun(B,tc_bool))=c_COMBK(c_False,tc_bool,B).
% 104.22/104.34  ** KEPT (pick-wt=10): 487 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),B)=B.
% 104.22/104.34  ---> New Demodulator: 488 [new_demod,487] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),B)=B.
% 104.22/104.34  ** KEPT (pick-wt=6): 489 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 104.22/104.34    Following clause subsumed by 489 during input processing: 0 [] c_lesse_quals(A,A,tc_fun(B,tc_bool)).
% 104.22/104.34  ** KEPT (pick-wt=44): 491 [copy,490,demod,414,416,488,416,418] c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(B,tc_bool)),C),D),tc_fun(B,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),A),tc_fun(B,tc_bool)),c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),A),D),C,tc_fun(B,tc_bool)),tc_fun(B,tc_bool)).
% 104.22/104.34  ** KEPT (pick-wt=34): 493 [copy,492,demod,414,flip.1] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D),tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool)).
% 104.22/104.34  ---> New Demodulator: 494 [new_demod,493] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D),tc_fun(A,tc_bool))=c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),D,tc_fun(A,tc_bool)).
% 104.22/104.34  ** KEPT (pick-wt=32): 496 [copy,495,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),c_HOL_Ominus__class_Ominus(B,D,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D),tc_fun(A,tc_bool)).
% 104.22/104.34  ---> New Demodulator: 497 [new_demod,496] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_HOL_Ominus__class_Ominus(B,C,tc_fun(A,tc_bool))),c_HOL_Ominus__class_Ominus(B,D,tc_fun(A,tc_bool)))=c_HOL_Ominus__class_Ominus(B,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D),tc_fun(A,tc_bool)).
% 104.22/104.34  ** KEPT (pick-wt=35): 498 [] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C),D,A,tc_fun(E,tc_bool))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(E,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(B,D,A,tc_fun(E,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(C,D,A,tc_fun(E,tc_bool))).
% 104.22/104.34  ** KEPT (pick-wt=8): 499 [] c_The(hAPP(c_fe_qual(A),B),A)=B.
% 104.22/104.34  ---> New Demodulator: 500 [new_demod,499] c_The(hAPP(c_fe_qual(A),B),A)=B.
% 104.22/104.34  ** KEPT (pick-wt=23): 501 [] c_Fun_Ofcomp(c_Fun_Ofcomp(A,B,C,D,E),F,C,E,G)=c_Fun_Ofcomp(A,c_Fun_Ofcomp(B,F,D,E,G),C,D,G).
% 104.22/104.34  ---> New Demodulator: 502 [new_demod,501] c_Fun_Ofcomp(c_Fun_Ofcomp(A,B,C,D,E),F,C,E,G)=c_Fun_Ofcomp(A,c_Fun_Ofcomp(B,F,D,E,G),C,D,G).
% 104.22/104.34  ** KEPT (pick-wt=11): 503 [] c_lesse_quals(A,hAPP(hAPP(c_Set_Oinsert(B),C),A),tc_fun(B,tc_bool)).
% 104.22/104.34  ** KEPT (pick-wt=32): 504 [] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Set_Oinsert(A),B),C)),hAPP(hAPP(c_Set_Oinsert(A),B),D))=hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 104.22/104.34  ---> New Demodulator: 505 [new_demod,504] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Set_Oinsert(A),B),C)),hAPP(hAPP(c_Set_Oinsert(A),B),D))=hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D)).
% 104.22/104.34  ** KEPT (pick-wt=27): 506 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Set_Oinsert(A),C),D))=hAPP(hAPP(c_Set_Oinsert(A),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)).
% 104.22/104.35  ** KEPT (pick-wt=27): 507 [] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Set_Oinsert(A),B),C)),D)=hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 104.22/104.35  ---> New Demodulator: 508 [new_demod,507] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Set_Oinsert(A),B),C)),D)=hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D)).
% 104.22/104.35  ** KEPT (pick-wt=10): 509 [] hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),A),C),B)).
% 104.22/104.35    Following clause subsumed by 509 during input processing: 0 [] hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),A),C),B)).
% 104.22/104.35    Following clause subsumed by 509 during input processing: 0 [] hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),A),C),B)).
% 104.22/104.35  ** KEPT (pick-wt=7): 510 [] c_Finite__Set_Ofun__left__comm__idem(c_Set_Oinsert(A),A,tc_fun(A,tc_bool)).
% 104.22/104.35  ** KEPT (pick-wt=13): 512 [copy,511,demod,465] hAPP(c_Map_Orestrict__map(A,c_COMBK(c_False,tc_bool,t_a),t_a,B),v_x)=c_Option_Ooption_ONone(B).
% 104.22/104.35    Following clause subsumed by 343 during input processing: 0 [demod,404] hAPP(A,hAPP(B,v_x))=hAPP(A,hAPP(B,v_x)).
% 104.22/104.35    Following clause subsumed by 343 during input processing: 0 [demod,442] v_x=v_x.
% 104.22/104.35    Following clause subsumed by 343 during input processing: 0 [demod,468] hAPP(B,hAPP(A,v_x))=hAPP(B,hAPP(A,v_x)).
% 104.22/104.35  ** KEPT (pick-wt=17): 513 [] c_Hoare__Mirabelle_Otriple_Otriple__rec(A,c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,E),E,F)=hAPP(hAPP(hAPP(A,B),C),D).
% 104.22/104.35  ** KEPT (pick-wt=17): 514 [] c_Hoare__Mirabelle_Otriple_Otriple__case(A,c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,E),E,F)=hAPP(hAPP(hAPP(A,B),C),D).
% 104.22/104.35    Following clause subsumed by 343 during input processing: 0 [demod,362] v_P=v_P.
% 104.22/104.35  ** KEPT (pick-wt=26): 516 [copy,515,demod,465] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(c_COMBK(c_COMBK(c_False,tc_bool,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_bool),B),C,D,B)),c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(B))),B).
% 104.22/104.35  ** KEPT (pick-wt=14): 518 [copy,517,demod,396,465] hAPP(c_fe_qual(A),B)=hAPP(hAPP(c_Set_Oinsert(A),B),c_COMBK(c_False,tc_bool,A)).
% 104.22/104.35    Following clause subsumed by 509 during input processing: 0 [demod,465] hBOOL(c_in(A,hAPP(hAPP(c_Set_Oinsert(B),A),c_COMBK(c_False,tc_bool,B)),B)).
% 104.22/104.35  ** KEPT (pick-wt=22): 520 [copy,519,demod,465,465] hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(A),B),c_COMBK(c_False,tc_bool,A)),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(hAPP(hAPP(c_Set_Oinsert(A),B),c_COMBK(c_False,tc_bool,A)),A))).
% 104.22/104.35  ** KEPT (pick-wt=25): 522 [copy,521,demod,465,465] hAPP(hAPP(c_Set_Oinsert(A),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_COMBK(c_False,tc_bool,C),D,C,tc_fun(A,tc_bool)))=hAPP(hAPP(c_Set_Oinsert(A),B),c_COMBK(c_False,tc_bool,A)).
% 104.22/104.35  ---> New Demodulator: 523 [new_demod,522] hAPP(hAPP(c_Set_Oinsert(A),B),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_COMBK(c_False,tc_bool,C),D,C,tc_fun(A,tc_bool)))=hAPP(hAPP(c_Set_Oinsert(A),B),c_COMBK(c_False,tc_bool,A)).
% 104.22/104.35  ** KEPT (pick-wt=15): 525 [copy,524,demod,465] hBOOL(hAPP(c_Finite__Set_Ofold1Set(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_COMBK(c_False,tc_bool,B)),B),C)).
% 104.22/104.35  ** KEPT (pick-wt=13): 527 [copy,526,demod,465] c_The(hAPP(hAPP(c_Set_Oinsert(A),B),c_COMBK(c_False,tc_bool,A)),A)=B.
% 104.22/104.35  ---> New Demodulator: 528 [new_demod,527] c_The(hAPP(hAPP(c_Set_Oinsert(A),B),c_COMBK(c_False,tc_bool,A)),A)=B.
% 104.22/104.35  ** KEPT (pick-wt=31): 530 [copy,529,demod,465] c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_COMBK(c_False,tc_bool,B)),tc_fun(B,tc_bool)),D,tc_fun(B,tc_bool)).
% 104.22/104.35  ** KEPT (pick-wt=31): 532 [copy,531,demod,465] c_HOL_Ominus__class_Ominus(A,hAPP(hAPP(c_Set_Oinsert(B),C),D),tc_fun(B,tc_bool))=c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(A,D,tc_fun(B,tc_bool)),hAPP(hAPP(c_Set_Oinsert(B),C),c_COMBK(c_False,tc_bool,B)),tc_fun(B,tc_bool)).
% 104.22/104.35  ** KEPT (pick-wt=13): 534 [copy,533,demod,465] c_Set_Ocontents(hAPP(hAPP(c_Set_Oinsert(A),B),c_COMBK(c_False,tc_bool,A)),A)=B.
% 104.22/104.35  ---> New Demodulator: 535 [new_demod,534] c_Set_Ocontents(hAPP(hAPP(c_Set_Oinsert(A),B),c_COMBK(c_False,tc_bool,A)),A)=B.
% 104.22/104.35  ** KEPT (pick-wt=14): 537 [copy,536,demod,465] c_Finite__Set_Ofold1(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_COMBK(c_False,tc_bool,B)),B)=C.
% 104.22/104.35  ---> New Demodulator: 538 [new_demod,537] c_Finite__Set_Ofold1(A,hAPP(hAPP(c_Set_Oinsert(B),C),c_COMBK(c_False,tc_bool,B)),B)=C.
% 104.22/104.35  ** KEPT (pick-wt=26): 540 [copy,539,demod,465] hAPP(hAPP(c_Set_Oinsert(A),B),c_HOL_Ominus__class_Ominus(C,hAPP(hAPP(c_Set_Oinsert(A),B),c_COMBK(c_False,tc_bool,A)),tc_fun(A,tc_bool)))=hAPP(hAPP(c_Set_Oinsert(A),B),C).
% 104.22/104.35  ---> New Demodulator: 541 [new_demod,540] hAPP(hAPP(c_Set_Oinsert(A),B),c_HOL_Ominus__class_Ominus(C,hAPP(hAPP(c_Set_Oinsert(A),B),c_COMBK(c_False,tc_bool,A)),tc_fun(A,tc_bool)))=hAPP(hAPP(c_Set_Oinsert(A),B),C).
% 104.22/104.35  ** KEPT (pick-wt=23): 543 [copy,542,demod,465,508,flip.1] hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_COMBK(c_False,tc_bool,A)),C))=hAPP(hAPP(c_Set_Oinsert(A),B),C).
% 104.22/104.35  ---> New Demodulator: 544 [new_demod,543] hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),c_COMBK(c_False,tc_bool,A)),C))=hAPP(hAPP(c_Set_Oinsert(A),B),C).
% 104.22/104.35  ** KEPT (pick-wt=9): 546 [copy,545,demod,465,364,465,flip.1] c_in(v_x,c_COMBK(c_False,tc_bool,t_a),t_a)=c_False.
% 104.22/104.35  ---> New Demodulator: 547 [new_demod,546] c_in(v_x,c_COMBK(c_False,tc_bool,t_a),t_a)=c_False.
% 104.22/104.35  ** KEPT (pick-wt=32): 549 [copy,548,demod,465] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(t_a))),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(A,B,D,C))).
% 104.22/104.35  ** KEPT (pick-wt=32): 551 [copy,550,demod,465] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(t_a))),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconse_q__2(A,B,D,C))).
% 104.22/104.35  ** KEPT (pick-wt=32): 553 [copy,552,demod,465] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(B,C,D,t_a)),c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(t_a))),t_a)|hBOOL(hAPP(hAPP(B,v_sko__Hoare__Mirabelle__Xescape__1(A,B,D,C)),v_sko__Hoare__Mirabelle__Xescape__2(A,B,D,C))).
% 104.22/104.35  ** KEPT (pick-wt=18): 555 [copy,554,demod,465] c_Hoare__Mirabelle_Ohoare__derivs(A,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(B)),c_Hoare__Mirabelle_Otriple_Otriple(C,c_Com_Ocom_OSKIP,C,B)),c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(B))),B).
% 104.22/104.35  ** KEPT (pick-wt=9): 556 [] hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(A),B),C),B)).
% 104.22/104.35  ** KEPT (pick-wt=8): 558 [copy,557,demod,465] c_Hoare__Mirabelle_Ohoare__derivs(A,c_COMBK(c_False,tc_bool,tc_Hoare__Mirabelle_Otriple(B)),B).
% 104.22/104.35  ** KEPT (pick-wt=18): 559 [] hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),B),C))=hAPP(hAPP(c_Set_Oinsert(A),B),C).
% 104.22/104.35  ---> New Demodulator: 560 [new_demod,559] hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),B),C))=hAPP(hAPP(c_Set_Oinsert(A),B),C).
% 104.22/104.35  ** KEPT (pick-wt=23): 561 [] hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),D))=hAPP(hAPP(c_Set_Oinsert(A),C),hAPP(hAPP(c_Set_Oinsert(A),B),D)).
% 104.22/104.35    Following clause subsumed by 561 during input processing: 0 [demod,465,465] hAPP(hAPP(c_Set_Oinsert(A),B),hAPP(hAPP(c_Set_Oinsert(A),C),c_COMBK(c_False,tc_bool,A)))=hAPP(hAPP(c_Set_Oinsert(A),C),hAPP(hAPP(c_Set_Oinsert(A),B),c_COMBK(c_False,tc_bool,A))).
% 104.22/104.35  ** KEPT (pick-wt=6): 562 [] hBOOL(hAPP(hAPP(v_P,v_x),v_xa)).
% 104.22/104.35  ** KEPT (pick-wt=2): 563 [] class_Complete__Lattice_Ocomplete__lattice(tc_bool).
% 104.22/104.35  ** KEPT (pick-wt=2): 564 [] class_Lattices_Oupper__semilattice(tc_bool).
% 104.22/104.35  ** KEPT (pick-wt=2): 565 [] class_Lattices_Olower__semilattice(tc_bool).
% 104.22/104.35  ** KEPT (pick-wt=2): 566 [] class_Lattices_Odistrib__lattice(tc_bool).
% 104.22/104.35  ** KEPT (pick-wt=2): 567 [] class_Lattices_Obounded__lattice(tc_bool).
% 104.22/104.35  ** KEPT (pick-wt=2): 568 [] class_Finite__Set_Ofinite_Ofinite(tc_bool).
% 104.22/104.35  ** KEPT (pick-wt=2): 569 [] class_Orderings_Opreorder(tc_bool).
% 104.22/104.35  ** KEPT (pick-wt=2): 570 [] class_Lattices_Olattice(tc_bool).
% 104.22/104.35  ** KEPT (pick-wt=2): 571 [] class_Orderings_Oorder(tc_bool).
% 104.22/104.35  ** KEPT (pick-wt=2): 572 [] class_Orderings_Obot(tc_bool).
% 104.22/104.35  ** KEPT (pick-wt=2): 573 [] class_HOL_Ominus(tc_bool).
% 104.22/104.35  ** KEPT (pick-wt=2): 574 [] class_HOL_Oord(tc_bool).
% 104.22/104.35  ** KEPT (pick-wt=7): 575 [] hBOOL(hAPP(hAPP(c_fe_qual(A),B),B)).
% 104.22/104.35    Following clause subsumed by 343 during input processing: 0 [copy,343,flip.1] A=A.
% 104.22/104.35  343 back subsumes 335.
% 104.22/104.35  343 back subsumes 325.
% 104.22/104.35  343 back subsumes 324.
% 104.22/104.35  343 back subsumes 315.
% 104.22/104.35  >>>> Starting back demodulation with 347.
% 104.22/104.35  >>>> Starting back demodulation with 350.
% 104.22/104.35  >>>> Starting back demodulation with 352.
% 104.22/104.35  >>>> Starting back demodulation with 354.
% 104.22/104.35  ** KEPT (pick-wt=24): 576 [copy,357,flip.1] c_Fun_Ofun__upd(c_Map_Orestrict__map(A,B,C,D),E,hAPP(A,E),C,tc_Option_Ooption(D))=c_Map_Orestrict__map(A,hAPP(hAPP(c_Set_Oinsert(C),E),B),C,D).
% 104.22/104.35  >>>> Starting back demodulation with 360.
% 104.22/104.35      >> back demodulating 4 with 360.
% 104.22/104.35      >> back demodulating 3 with 360.
% 104.22/104.35  >>>> Starting back demodulation with 362.
% 104.22/104.35  >>>> Starting back demodulation with 364.
% 104.22/104.35  >>>> Starting back demodulation with 366.
% 104.22/104.35    Following clause subsumed by 367 during input processing: 0 [copy,367,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)).
% 104.22/104.35  >>>> Starting back demodulation with 369.
% 104.22/104.35    Following clause subsumed by 372 during input processing: 0 [copy,372,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),B).
% 104.22/104.35  >>>> Starting back demodulation with 376.
% 104.22/104.35  ** KEPT (pick-wt=15): 579 [copy,378,flip.1] hAPP(hAPP(A,B),C)=hAPP(hAPP(c_COMBC(A,D,E,F),C),B).
% 104.22/104.35  >>>> Starting back demodulation with 380.
% 104.22/104.35  >>>> Starting back demodulation with 383.
% 104.22/104.35      >> back demodulating 327 with 383.
% 104.22/104.35      >> back demodulating 321 with 383.
% 104.22/104.35      >> back demodulating 320 with 383.
% 104.22/104.35      >> back demodulating 318 with 383.
% 104.22/104.35      >> back demodulating 316 with 383.
% 104.22/104.35  >>>> Starting back demodulation with 385.
% 104.22/104.35      >> back demodulating 112 with 385.
% 104.22/104.35  >>>> Starting back demodulation with 387.
% 104.22/104.35  >>>> Starting back demodulation with 390.
% 104.22/104.35  ** KEPT (pick-wt=38): 581 [copy,391,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),D),C))=hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),D)),C).
% 104.22/104.35  >>>> Starting back demodulation with 394.
% 104.22/104.35  >>>> Starting back demodulation with 396.
% 104.22/104.35      >> back demodulating 225 with 396.
% 104.22/104.35      >> back demodulating 157 with 396.
% 104.22/104.35      >> back demodulating 154 with 396.
% 104.22/104.35      >> back demodulating 43 with 396.
% 104.22/104.35      >> back demodulating 35 with 396.
% 104.22/104.35      >> back demodulating 34 with 396.
% 104.22/104.35  >>>> Starting back demodulation with 399.
% 104.22/104.35  >>>> Starting back demodulation with 401.
% 104.22/104.35  >>>> Starting back demodulation with 404.
% 104.22/104.35      >> back demodulating 398 with 404.
% 104.22/104.35      >> back demodulating 227 with 404.
% 104.22/104.35  >>>> Starting back demodulation with 406.
% 104.22/104.35      >> back demodulating 375 with 406.
% 104.22/104.35    Following clause subsumed by 407 during input processing: 0 [copy,407,flip.1] hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),C),D))=hAPP(hAPP(c_Lattices_Olower__semilatt
% 104.22/104.35  -------- PROOF -------- 
% 104.22/104.35  ice__class_Oinf(tc_fun(A,tc_bool)),C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),D)).
% 104.22/104.35  ** KEPT (pick-wt=22): 588 [copy,408,flip.1] c_Map_Orestrict__map(A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(B,tc_bool)),C),D),B,E)=c_Map_Orestrict__map(c_Map_Orestrict__map(A,C,B,E),D,B,E).
% 104.22/104.35  >>>> Starting back demodulation with 410.
% 104.22/104.35  >>>> Starting back demodulation with 412.
% 104.22/104.35  >>>> Starting back demodulation with 414.
% 104.22/104.35  >>>> Starting back demodulation with 416.
% 104.22/104.35  >>>> Starting back demodulation with 418.
% 104.22/104.35      >> back demodulating 415 with 418.
% 104.22/104.35  >>>> Starting back demodulation with 420.
% 104.22/104.35  >>>> Starting back demodulation with 424.
% 104.22/104.35  >>>> Starting back demodulation with 426.
% 104.22/104.35      >> back demodulating 30 with 426.
% 104.22/104.35  ** KEPT (pick-wt=20): 591 [copy,427,flip.1,demod,465,465,flip.1] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_COMBK(c_False,tc_bool,A),c_COMBK(B,tc_fun(C,tc_bool),A),A,tc_fun(C,tc_bool))=c_COMBK(c_False,tc_bool,C).
% 104.22/104.35  ---> New Demodulator: 592 [new_demod,591] c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_COMBK(c_False,tc_bool,A),c_COMBK(B,tc_fun(C,tc_bool),A),A,tc_fun(C,tc_bool))=c_COMBK(c_False,tc_bool,C).
% 104.22/104.35  >>>> Starting back demodulation with 430.
% 104.22/104.35  >>>> Starting back demodulation with 433.
% 104.22/104.35    Following clause subsumed by 434 during input processing: 0 [copy,434,flip.1] hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),B),C)=hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(A,tc_bool)),C),B).
% 104.22/104.35  >>>> Starting back demodulation with 436.
% 104.22/104.35  ** KEPT (pick-wt=18): 593 [copy,438,flip.1,demod,465,488,flip.1] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),B,tc_fun(A,tc_bool))=c_COMBK(c_False,tc_bool,A).
% 104.22/104.35  ---> New Demodulator: 594 [new_demod,593] c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(A,tc_bool)),B),C),B,tc_fun(A,tc_bool))=c_COMBK(c_False,tc_bool,A).
% 104.22/104.35  >>>> Starting back demodulation with 442.
% 104.22/104.35  >>>> Starting back demodulation with 445.
% 104.22/104.35  >>>> Starting back demodulation with 447.
% 104.22/104.35  >>>> Starting back demodulation with 449.
% 104.22/104.35  ** KEPT (pick-wt=11): 595 [copy,450,flip.1,demod,465,flip.1] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_COMBK(c_False,tc_bool,B).
% 104.22/104.35  ---> New Demodulator: 596 [new_demod,595] c_HOL_Ominus__class_Ominus(A,A,tc_fun(B,tc_bool))=c_COMBK(c_False,tc_bool,B).
% 104.22/104.35  >>>> Starting back demodulation with 452.
% 104.22/104.35  >>>> Starting back demodulation with 455.
% 104.22/104.35  >>>> Starting back demodulation with 457.
% 104.22/104.35  458 back subsumes 443.
% 104.22/104.35  ** KEPT (pick-wt=18): 597 [copy,461,flip.1,demod,465] hAPP(hAPP(c_Set_Oinsert(A),B),c_COMBK(c_False,tc_bool,A))=hAPP(c_COMBC(c_fe_qual(A),A,A,tc_bool),B).
% 104.22/104.35  >>>> Starting back demodulation with 465.
% 104.22/104.35      >> back demodulating 462 with 465.
% 104.22/104.35      >> back demodulating 461 with 465.
% 104.22/104.35      >> back demodulating 459 with 465.
% 104.22/104.35      >> back demodulating 458 with 465.
% 104.22/104.35      >> back demodulating 456 with 465.
% 104.22/104.35      >> back demodulating 454 with 465.
% 104.22/104.35      >> back demodulating 453 with 465.
% 104.22/104.35      >> back demodulating 451 with 465.
% 104.22/104.35      >> back demodulating 450 with 465.
% 104.22/104.35      >> back demodulating 448 with 465.
% 104.22/104.35      >> back demodulating 446 with 465.
% 104.22/104.35      >> back demodulating 444 with 465.
% 104.22/104.35      >> back demodulating 438 with 465.
% 104.22/104.35      >> back demodulating 427 with 465.
% 104.22/104.35      >> back demodulating 411 with 465.
% 104.22/104.35      >> back demodulating 409 with 465.
% 104.22/104.35      >> back demodulating 379 with 465.
% 104.22/104.35      >> back demodulating 377 with 465.
% 104.22/104.35      >> back demodulating 359 with 465.
% 104.22/104.35      >> back demodulating 341 with 465.
% 104.22/104.35      >> back demodulating 340 with 465.
% 104.22/104.35      >> back demodulating 339 with 465.
% 104.22/104.35      >> back demodulating 338 with 465.
% 104.22/104.35      >> back demodulating 337 with 465.
% 104.22/104.35      >> back demodulating 336 with 465.
% 104.22/104.35      >> back demodulating 323 with 465.
% 104.22/104.35      >> back demodulating 300 with 465.
% 104.22/104.35  
% 104.22/104.35  ----> UNIT CONFLICT at   0.08 sec ----> 631 [binary,630.1,516.1] $F.
% 104.22/104.35  
% 104.22/104.35  Length of proof is 3.  Level of proof is 2.
% 104.22/104.35  
% 104.22/104.35  ---------------- PROOF ----------------
% 104.22/104.35  % SZS status Unsatisfiable
% 104.22/104.35  % SZS output start Refutation
% See solution above
% 104.22/104.35  ------------ end of proof -------------
% 104.22/104.35  
% 104.22/104.35  
% 104.22/104.35  Search stopped by max_proofs option.
% 104.22/104.35  
% 104.22/104.35  
% 104.22/104.35  Search stopped by max_proofs option.
% 104.22/104.35  
% 104.22/104.35  ============ end of search ============
% 104.22/104.35  
% 104.22/104.35  -------------- statistics -------------
% 104.22/104.35  clauses given                  0
% 104.22/104.35  clauses generated             32
% 104.22/104.35  clauses kept                 510
% 104.22/104.35  clauses forward subsumed      81
% 104.22/104.35  clauses back subsumed          8
% 104.22/104.35  Kbytes malloced            11718
% 104.22/104.35  
% 104.22/104.35  ----------- times (seconds) -----------
% 104.22/104.35  user CPU time          0.08          (0 hr, 0 min, 0 sec)
% 104.22/104.35  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 104.22/104.35  wall-clock time      104             (0 hr, 1 min, 44 sec)
% 104.22/104.35  
% 104.22/104.35  That finishes the proof of the theorem.
% 104.22/104.35  
% 104.22/104.35  Process 27729 finished Wed Jul 27 06:25:04 2022
% 104.22/104.35  Otter interrupted
% 104.22/104.35  PROOF FOUND
%------------------------------------------------------------------------------